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Finding the Fourth Proportional to 8,472.90, 11,690.88 and 5,488.32

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Solution

The fourth proportional to 8,472.90, 11,690.88 and 5,488.32 is: 7,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.90 : 11,690.88 = 5,488.32 : x
  2. Step 2: Convert to fraction form
    8,472.90/11,690.88 = 5,488.32/x
  3. Step 3: Cross multiply
    8,472.90x = 11,690.88 × 5,488.32
  4. Step 4: Simplify right side
    8,472.90x = 64,163,290.52
  5. Step 5: Solve for x
    x = 64,163,290.52/8,472.90
  6. Step 6: Final answer
    x = 7,572.77

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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.