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Finding the Fourth Proportional to 7,059.38, 10,589.06 and 2,442.38

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Solution

The fourth proportional to 7,059.38, 10,589.06 and 2,442.38 is: 3,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.38 : 10,589.06 = 2,442.38 : x
  2. Step 2: Convert to fraction form
    7,059.38/10,589.06 = 2,442.38/x
  3. Step 3: Cross multiply
    7,059.38x = 10,589.06 × 2,442.38
  4. Step 4: Simplify right side
    7,059.38x = 25,862,461.52
  5. Step 5: Solve for x
    x = 25,862,461.52/7,059.38
  6. Step 6: Final answer
    x = 3,663.56

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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.