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Finding the Fourth Proportional to 11,341.52, 15,647.28 and 7,148.96

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Solution

The fourth proportional to 11,341.52, 15,647.28 and 7,148.96 is: 9,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.52 : 15,647.28 = 7,148.96 : x
  2. Step 2: Convert to fraction form
    11,341.52/15,647.28 = 7,148.96/x
  3. Step 3: Cross multiply
    11,341.52x = 15,647.28 × 7,148.96
  4. Step 4: Simplify right side
    11,341.52x = 111,861,778.83
  5. Step 5: Solve for x
    x = 111,861,778.83/11,341.52
  6. Step 6: Final answer
    x = 9,863.03

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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.