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Finding the Fourth Proportional to 10,502.88, 15,754.32 and 3,577.38

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Solution

The fourth proportional to 10,502.88, 15,754.32 and 3,577.38 is: 5,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.88 : 15,754.32 = 3,577.38 : x
  2. Step 2: Convert to fraction form
    10,502.88/15,754.32 = 3,577.38/x
  3. Step 3: Cross multiply
    10,502.88x = 15,754.32 × 3,577.38
  4. Step 4: Simplify right side
    10,502.88x = 56,359,189.28
  5. Step 5: Solve for x
    x = 56,359,189.28/10,502.88
  6. Step 6: Final answer
    x = 5,366.07

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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.