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Finding the Fourth Proportional to 10,471.79, 15,707.69 and 3,545.75

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Solution

The fourth proportional to 10,471.79, 15,707.69 and 3,545.75 is: 5,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.79 : 15,707.69 = 3,545.75 : x
  2. Step 2: Convert to fraction form
    10,471.79/15,707.69 = 3,545.75/x
  3. Step 3: Cross multiply
    10,471.79x = 15,707.69 × 3,545.75
  4. Step 4: Simplify right side
    10,471.79x = 55,695,541.82
  5. Step 5: Solve for x
    x = 55,695,541.82/10,471.79
  6. Step 6: Final answer
    x = 5,318.63

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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.