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Finding the Fourth Proportional to 7,557.71, 10,429.31 and 4,200.71

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Solution

The fourth proportional to 7,557.71, 10,429.31 and 4,200.71 is: 5,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.71 : 10,429.31 = 4,200.71 : x
  2. Step 2: Convert to fraction form
    7,557.71/10,429.31 = 4,200.71/x
  3. Step 3: Cross multiply
    7,557.71x = 10,429.31 × 4,200.71
  4. Step 4: Simplify right side
    7,557.71x = 43,810,500.20
  5. Step 5: Solve for x
    x = 43,810,500.20/7,557.71
  6. Step 6: Final answer
    x = 5,796.80

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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.