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Finding the Fourth Proportional to 10,442.40, 14,410.48 and 5,726.72

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Solution

The fourth proportional to 10,442.40, 14,410.48 and 5,726.72 is: 7,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.40 : 14,410.48 = 5,726.72 : x
  2. Step 2: Convert to fraction form
    10,442.40/14,410.48 = 5,726.72/x
  3. Step 3: Cross multiply
    10,442.40x = 14,410.48 × 5,726.72
  4. Step 4: Simplify right side
    10,442.40x = 82,524,784.03
  5. Step 5: Solve for x
    x = 82,524,784.03/10,442.40
  6. Step 6: Final answer
    x = 7,902.86

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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.