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Finding the Fourth Proportional to 11,505.96, 17,251.25 and 9,287.52

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Solution

The fourth proportional to 11,505.96, 17,251.25 and 9,287.52 is: 13,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.96 : 17,251.25 = 9,287.52 : x
  2. Step 2: Convert to fraction form
    11,505.96/17,251.25 = 9,287.52/x
  3. Step 3: Cross multiply
    11,505.96x = 17,251.25 × 9,287.52
  4. Step 4: Simplify right side
    11,505.96x = 160,221,329.40
  5. Step 5: Solve for x
    x = 160,221,329.40/11,505.96
  6. Step 6: Final answer
    x = 13,925.07

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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.