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Finding the Fourth Proportional to 7,659.92, 10,574.73 and 5,155.20

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Solution

The fourth proportional to 7,659.92, 10,574.73 and 5,155.20 is: 7,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.92 : 10,574.73 = 5,155.20 : x
  2. Step 2: Convert to fraction form
    7,659.92/10,574.73 = 5,155.20/x
  3. Step 3: Cross multiply
    7,659.92x = 10,574.73 × 5,155.20
  4. Step 4: Simplify right side
    7,659.92x = 54,514,848.10
  5. Step 5: Solve for x
    x = 54,514,848.10/7,659.92
  6. Step 6: Final answer
    x = 7,116.89

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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.