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Finding the Fourth Proportional to 7,151.60, 10,729.80 and 3,456.08

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Solution

The fourth proportional to 7,151.60, 10,729.80 and 3,456.08 is: 5,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.60 : 10,729.80 = 3,456.08 : x
  2. Step 2: Convert to fraction form
    7,151.60/10,729.80 = 3,456.08/x
  3. Step 3: Cross multiply
    7,151.60x = 10,729.80 × 3,456.08
  4. Step 4: Simplify right side
    7,151.60x = 37,083,047.18
  5. Step 5: Solve for x
    x = 37,083,047.18/7,151.60
  6. Step 6: Final answer
    x = 5,185.28

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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.