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Finding the Fourth Proportional to 7,772.94, 10,732.59 and 6,358.14

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Solution

The fourth proportional to 7,772.94, 10,732.59 and 6,358.14 is: 8,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.94 : 10,732.59 = 6,358.14 : x
  2. Step 2: Convert to fraction form
    7,772.94/10,732.59 = 6,358.14/x
  3. Step 3: Cross multiply
    7,772.94x = 10,732.59 × 6,358.14
  4. Step 4: Simplify right side
    7,772.94x = 68,239,309.78
  5. Step 5: Solve for x
    x = 68,239,309.78/7,772.94
  6. Step 6: Final answer
    x = 8,779.09

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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.