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Finding the Fourth Proportional to 7,802.12, 11,687.39 and 6,610.92

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Solution

The fourth proportional to 7,802.12, 11,687.39 and 6,610.92 is: 9,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.12 : 11,687.39 = 6,610.92 : x
  2. Step 2: Convert to fraction form
    7,802.12/11,687.39 = 6,610.92/x
  3. Step 3: Cross multiply
    7,802.12x = 11,687.39 × 6,610.92
  4. Step 4: Simplify right side
    7,802.12x = 77,264,348.21
  5. Step 5: Solve for x
    x = 77,264,348.21/7,802.12
  6. Step 6: Final answer
    x = 9,902.99

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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.