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Finding the Fourth Proportional to 7,472.97, 10,313.28 and 4,116.42

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Solution

The fourth proportional to 7,472.97, 10,313.28 and 4,116.42 is: 5,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.97 : 10,313.28 = 4,116.42 : x
  2. Step 2: Convert to fraction form
    7,472.97/10,313.28 = 4,116.42/x
  3. Step 3: Cross multiply
    7,472.97x = 10,313.28 × 4,116.42
  4. Step 4: Simplify right side
    7,472.97x = 42,453,792.06
  5. Step 5: Solve for x
    x = 42,453,792.06/7,472.97
  6. Step 6: Final answer
    x = 5,680.98

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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.