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Finding the Fourth Proportional to 7,829.40, 11,772.90 and 6,562.20

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Solution

The fourth proportional to 7,829.40, 11,772.90 and 6,562.20 is: 9,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.40 : 11,772.90 = 6,562.20 : x
  2. Step 2: Convert to fraction form
    7,829.40/11,772.90 = 6,562.20/x
  3. Step 3: Cross multiply
    7,829.40x = 11,772.90 × 6,562.20
  4. Step 4: Simplify right side
    7,829.40x = 77,256,124.38
  5. Step 5: Solve for x
    x = 77,256,124.38/7,829.40
  6. Step 6: Final answer
    x = 9,867.44

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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.