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Finding the Fourth Proportional to 10,275.96, 15,410.29 and 3,700.38

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Solution

The fourth proportional to 10,275.96, 15,410.29 and 3,700.38 is: 5,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.96 : 15,410.29 = 3,700.38 : x
  2. Step 2: Convert to fraction form
    10,275.96/15,410.29 = 3,700.38/x
  3. Step 3: Cross multiply
    10,275.96x = 15,410.29 × 3,700.38
  4. Step 4: Simplify right side
    10,275.96x = 57,023,833.36
  5. Step 5: Solve for x
    x = 57,023,833.36/10,275.96
  6. Step 6: Final answer
    x = 5,549.25

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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.