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Finding the Fourth Proportional to 7,778.00, 10,689.38 and 7,285.92

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Solution

The fourth proportional to 7,778.00, 10,689.38 and 7,285.92 is: 10,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.00 : 10,689.38 = 7,285.92 : x
  2. Step 2: Convert to fraction form
    7,778.00/10,689.38 = 7,285.92/x
  3. Step 3: Cross multiply
    7,778.00x = 10,689.38 × 7,285.92
  4. Step 4: Simplify right side
    7,778.00x = 77,881,931.10
  5. Step 5: Solve for x
    x = 77,881,931.10/7,778.00
  6. Step 6: Final answer
    x = 10,013.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.