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Finding the Fourth Proportional to 7,732.74, 11,600.02 and 2,465.90

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Solution

The fourth proportional to 7,732.74, 11,600.02 and 2,465.90 is: 3,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.74 : 11,600.02 = 2,465.90 : x
  2. Step 2: Convert to fraction form
    7,732.74/11,600.02 = 2,465.90/x
  3. Step 3: Cross multiply
    7,732.74x = 11,600.02 × 2,465.90
  4. Step 4: Simplify right side
    7,732.74x = 28,604,489.32
  5. Step 5: Solve for x
    x = 28,604,489.32/7,732.74
  6. Step 6: Final answer
    x = 3,699.14

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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.