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Finding the Fourth Proportional to 7,775.92, 10,729 and 6,522.04

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Solution

The fourth proportional to 7,775.92, 10,729 and 6,522.04 is: 8,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.92 : 10,729 = 6,522.04 : x
  2. Step 2: Convert to fraction form
    7,775.92/10,729 = 6,522.04/x
  3. Step 3: Cross multiply
    7,775.92x = 10,729 × 6,522.04
  4. Step 4: Simplify right side
    7,775.92x = 69,974,967.16
  5. Step 5: Solve for x
    x = 69,974,967.16/7,775.92
  6. Step 6: Final answer
    x = 8,998.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.