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Finding the Fourth Proportional to 10,498.24, 14,488.59 and 7,841.03

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Solution

The fourth proportional to 10,498.24, 14,488.59 and 7,841.03 is: 10,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.24 : 14,488.59 = 7,841.03 : x
  2. Step 2: Convert to fraction form
    10,498.24/14,488.59 = 7,841.03/x
  3. Step 3: Cross multiply
    10,498.24x = 14,488.59 × 7,841.03
  4. Step 4: Simplify right side
    10,498.24x = 113,605,468.85
  5. Step 5: Solve for x
    x = 113,605,468.85/10,498.24
  6. Step 6: Final answer
    x = 10,821.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.