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Finding the Fourth Proportional to 7,557.60, 10,429.19 and 4,200.47

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Solution

The fourth proportional to 7,557.60, 10,429.19 and 4,200.47 is: 5,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.60 : 10,429.19 = 4,200.47 : x
  2. Step 2: Convert to fraction form
    7,557.60/10,429.19 = 4,200.47/x
  3. Step 3: Cross multiply
    7,557.60x = 10,429.19 × 4,200.47
  4. Step 4: Simplify right side
    7,557.60x = 43,807,540.10
  5. Step 5: Solve for x
    x = 43,807,540.10/7,557.60
  6. Step 6: Final answer
    x = 5,796.49

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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.