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Finding the Fourth Proportional to 7,708.18, 11,562.01 and 3,264.63

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Solution

The fourth proportional to 7,708.18, 11,562.01 and 3,264.63 is: 4,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.18 : 11,562.01 = 3,264.63 : x
  2. Step 2: Convert to fraction form
    7,708.18/11,562.01 = 3,264.63/x
  3. Step 3: Cross multiply
    7,708.18x = 11,562.01 × 3,264.63
  4. Step 4: Simplify right side
    7,708.18x = 37,745,684.71
  5. Step 5: Solve for x
    x = 37,745,684.71/7,708.18
  6. Step 6: Final answer
    x = 4,896.83

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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.