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Finding the Fourth Proportional to 7,708.65, 11,562.98 and 6,615.15

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Solution

The fourth proportional to 7,708.65, 11,562.98 and 6,615.15 is: 9,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.65 : 11,562.98 = 6,615.15 : x
  2. Step 2: Convert to fraction form
    7,708.65/11,562.98 = 6,615.15/x
  3. Step 3: Cross multiply
    7,708.65x = 11,562.98 × 6,615.15
  4. Step 4: Simplify right side
    7,708.65x = 76,490,814.07
  5. Step 5: Solve for x
    x = 76,490,814.07/7,708.65
  6. Step 6: Final answer
    x = 9,922.73

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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.