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Finding the Fourth Proportional to 10,502.32, 15,752.40 and 4,954.24

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Solution

The fourth proportional to 10,502.32, 15,752.40 and 4,954.24 is: 7,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.32 : 15,752.40 = 4,954.24 : x
  2. Step 2: Convert to fraction form
    10,502.32/15,752.40 = 4,954.24/x
  3. Step 3: Cross multiply
    10,502.32x = 15,752.40 × 4,954.24
  4. Step 4: Simplify right side
    10,502.32x = 78,041,170.18
  5. Step 5: Solve for x
    x = 78,041,170.18/10,502.32
  6. Step 6: Final answer
    x = 7,430.85

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