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Finding the Fourth Proportional to 10,442.67, 14,410.89 and 5,726.95

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Solution

The fourth proportional to 10,442.67, 14,410.89 and 5,726.95 is: 7,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.67 : 14,410.89 = 5,726.95 : x
  2. Step 2: Convert to fraction form
    10,442.67/14,410.89 = 5,726.95/x
  3. Step 3: Cross multiply
    10,442.67x = 14,410.89 × 5,726.95
  4. Step 4: Simplify right side
    10,442.67x = 82,530,475.41
  5. Step 5: Solve for x
    x = 82,530,475.41/10,442.67
  6. Step 6: Final answer
    x = 7,903.20

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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.