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Finding the Fourth Proportional to 5,824,711.70, 8,737,067.55 and 5,257,841.30

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Solution

The fourth proportional to 5,824,711.70, 8,737,067.55 and 5,257,841.30 is: 7,886,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,711.70 : 8,737,067.55 = 5,257,841.30 : x
  2. Step 2: Convert to fraction form
    5,824,711.70/8,737,067.55 = 5,257,841.30/x
  3. Step 3: Cross multiply
    5,824,711.70x = 8,737,067.55 × 5,257,841.30
  4. Step 4: Simplify right side
    5,824,711.70x = 45,938,114,605,279.82
  5. Step 5: Solve for x
    x = 45,938,114,605,279.82/5,824,711.70
  6. Step 6: Final answer
    x = 7,886,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.