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Finding the Fourth Proportional to 7,046.30, 10,565.40 and 2,115.20

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Solution

The fourth proportional to 7,046.30, 10,565.40 and 2,115.20 is: 3,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.30 : 10,565.40 = 2,115.20 : x
  2. Step 2: Convert to fraction form
    7,046.30/10,565.40 = 2,115.20/x
  3. Step 3: Cross multiply
    7,046.30x = 10,565.40 × 2,115.20
  4. Step 4: Simplify right side
    7,046.30x = 22,347,934.08
  5. Step 5: Solve for x
    x = 22,347,934.08/7,046.30
  6. Step 6: Final answer
    x = 3,171.58

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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.