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Finding the Fourth Proportional to 10,462.87, 15,756.17 and 7,561.45

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Solution

The fourth proportional to 10,462.87, 15,756.17 and 7,561.45 is: 11,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.87 : 15,756.17 = 7,561.45 : x
  2. Step 2: Convert to fraction form
    10,462.87/15,756.17 = 7,561.45/x
  3. Step 3: Cross multiply
    10,462.87x = 15,756.17 × 7,561.45
  4. Step 4: Simplify right side
    10,462.87x = 119,139,471.16
  5. Step 5: Solve for x
    x = 119,139,471.16/10,462.87
  6. Step 6: Final answer
    x = 11,386.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.