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Finding the Fourth Proportional to 10,488.92, 14,474.16 and 5,772.30

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Solution

The fourth proportional to 10,488.92, 14,474.16 and 5,772.30 is: 7,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.92 : 14,474.16 = 5,772.30 : x
  2. Step 2: Convert to fraction form
    10,488.92/14,474.16 = 5,772.30/x
  3. Step 3: Cross multiply
    10,488.92x = 14,474.16 × 5,772.30
  4. Step 4: Simplify right side
    10,488.92x = 83,549,193.77
  5. Step 5: Solve for x
    x = 83,549,193.77/10,488.92
  6. Step 6: Final answer
    x = 7,965.47

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