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Finding the Fourth Proportional to 7,058.88, 10,589.76 and 2,442.24

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Solution

The fourth proportional to 7,058.88, 10,589.76 and 2,442.24 is: 3,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.88 : 10,589.76 = 2,442.24 : x
  2. Step 2: Convert to fraction form
    7,058.88/10,589.76 = 2,442.24/x
  3. Step 3: Cross multiply
    7,058.88x = 10,589.76 × 2,442.24
  4. Step 4: Simplify right side
    7,058.88x = 25,862,735.46
  5. Step 5: Solve for x
    x = 25,862,735.46/7,058.88
  6. Step 6: Final answer
    x = 3,663.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.