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Finding the Fourth Proportional to 7,132.47, 10,699.71 and 2,202.51

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Solution

The fourth proportional to 7,132.47, 10,699.71 and 2,202.51 is: 3,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.47 : 10,699.71 = 2,202.51 : x
  2. Step 2: Convert to fraction form
    7,132.47/10,699.71 = 2,202.51/x
  3. Step 3: Cross multiply
    7,132.47x = 10,699.71 × 2,202.51
  4. Step 4: Simplify right side
    7,132.47x = 23,566,218.27
  5. Step 5: Solve for x
    x = 23,566,218.27/7,132.47
  6. Step 6: Final answer
    x = 3,304.08

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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.