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Finding the Fourth Proportional to 7,109.52, 10,665.48 and 2,429.20

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Solution

The fourth proportional to 7,109.52, 10,665.48 and 2,429.20 is: 3,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.52 : 10,665.48 = 2,429.20 : x
  2. Step 2: Convert to fraction form
    7,109.52/10,665.48 = 2,429.20/x
  3. Step 3: Cross multiply
    7,109.52x = 10,665.48 × 2,429.20
  4. Step 4: Simplify right side
    7,109.52x = 25,908,584.02
  5. Step 5: Solve for x
    x = 25,908,584.02/7,109.52
  6. Step 6: Final answer
    x = 3,644.21

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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.