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Finding the Fourth Proportional to 7,294.61, 10,067.28 and 4,463.26

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Solution

The fourth proportional to 7,294.61, 10,067.28 and 4,463.26 is: 6,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.61 : 10,067.28 = 4,463.26 : x
  2. Step 2: Convert to fraction form
    7,294.61/10,067.28 = 4,463.26/x
  3. Step 3: Cross multiply
    7,294.61x = 10,067.28 × 4,463.26
  4. Step 4: Simplify right side
    7,294.61x = 44,932,888.13
  5. Step 5: Solve for x
    x = 44,932,888.13/7,294.61
  6. Step 6: Final answer
    x = 6,159.74

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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.