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Finding the Fourth Proportional to 11,587.47, 17,385.56 and 5,350.47

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Solution

The fourth proportional to 11,587.47, 17,385.56 and 5,350.47 is: 8,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.47 : 17,385.56 = 5,350.47 : x
  2. Step 2: Convert to fraction form
    11,587.47/17,385.56 = 5,350.47/x
  3. Step 3: Cross multiply
    11,587.47x = 17,385.56 × 5,350.47
  4. Step 4: Simplify right side
    11,587.47x = 93,020,917.21
  5. Step 5: Solve for x
    x = 93,020,917.21/11,587.47
  6. Step 6: Final answer
    x = 8,027.72

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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.