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Finding the Fourth Proportional to 7,574.88, 10,456.56 and 5,092.32

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Solution

The fourth proportional to 7,574.88, 10,456.56 and 5,092.32 is: 7,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.88 : 10,456.56 = 5,092.32 : x
  2. Step 2: Convert to fraction form
    7,574.88/10,456.56 = 5,092.32/x
  3. Step 3: Cross multiply
    7,574.88x = 10,456.56 × 5,092.32
  4. Step 4: Simplify right side
    7,574.88x = 53,248,149.62
  5. Step 5: Solve for x
    x = 53,248,149.62/7,574.88
  6. Step 6: Final answer
    x = 7,029.57

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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.