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Finding the Fourth Proportional to 11,565.52, 17,348.78 and 3,246.08

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Solution

The fourth proportional to 11,565.52, 17,348.78 and 3,246.08 is: 4,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.52 : 17,348.78 = 3,246.08 : x
  2. Step 2: Convert to fraction form
    11,565.52/17,348.78 = 3,246.08/x
  3. Step 3: Cross multiply
    11,565.52x = 17,348.78 × 3,246.08
  4. Step 4: Simplify right side
    11,565.52x = 56,315,449.15
  5. Step 5: Solve for x
    x = 56,315,449.15/11,565.52
  6. Step 6: Final answer
    x = 4,869.25

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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.