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Finding the Fourth Proportional to 7,665.39, 11,499.71 and 2,471.13

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Solution

The fourth proportional to 7,665.39, 11,499.71 and 2,471.13 is: 3,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.39 : 11,499.71 = 2,471.13 : x
  2. Step 2: Convert to fraction form
    7,665.39/11,499.71 = 2,471.13/x
  3. Step 3: Cross multiply
    7,665.39x = 11,499.71 × 2,471.13
  4. Step 4: Simplify right side
    7,665.39x = 28,417,266.02
  5. Step 5: Solve for x
    x = 28,417,266.02/7,665.39
  6. Step 6: Final answer
    x = 3,707.22

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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.