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Finding the Fourth Proportional to 7,115.52, 9,816.36 and 4,129.20

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Solution

The fourth proportional to 7,115.52, 9,816.36 and 4,129.20 is: 5,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.52 : 9,816.36 = 4,129.20 : x
  2. Step 2: Convert to fraction form
    7,115.52/9,816.36 = 4,129.20/x
  3. Step 3: Cross multiply
    7,115.52x = 9,816.36 × 4,129.20
  4. Step 4: Simplify right side
    7,115.52x = 40,533,713.71
  5. Step 5: Solve for x
    x = 40,533,713.71/7,115.52
  6. Step 6: Final answer
    x = 5,696.52

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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.