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Finding the Fourth Proportional to 12,785.04, 17,647.92 and 7,747.20

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Solution

The fourth proportional to 12,785.04, 17,647.92 and 7,747.20 is: 10,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.04 : 17,647.92 = 7,747.20 : x
  2. Step 2: Convert to fraction form
    12,785.04/17,647.92 = 7,747.20/x
  3. Step 3: Cross multiply
    12,785.04x = 17,647.92 × 7,747.20
  4. Step 4: Simplify right side
    12,785.04x = 136,721,965.82
  5. Step 5: Solve for x
    x = 136,721,965.82/12,785.04
  6. Step 6: Final answer
    x = 10,693.90

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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.