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Finding the Fourth Proportional to 7,557.69, 10,429.41 and 4,200.42

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Solution

The fourth proportional to 7,557.69, 10,429.41 and 4,200.42 is: 5,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557.69 : 10,429.41 = 4,200.42 : x
  2. Step 2: Convert to fraction form
    7,557.69/10,429.41 = 4,200.42/x
  3. Step 3: Cross multiply
    7,557.69x = 10,429.41 × 4,200.42
  4. Step 4: Simplify right side
    7,557.69x = 43,807,902.35
  5. Step 5: Solve for x
    x = 43,807,902.35/7,557.69
  6. Step 6: Final answer
    x = 5,796.47

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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.