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Finding the Fourth Proportional to 10,442.34, 14,410.44 and 5,726.73

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Solution

The fourth proportional to 10,442.34, 14,410.44 and 5,726.73 is: 7,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.34 : 14,410.44 = 5,726.73 : x
  2. Step 2: Convert to fraction form
    10,442.34/14,410.44 = 5,726.73/x
  3. Step 3: Cross multiply
    10,442.34x = 14,410.44 × 5,726.73
  4. Step 4: Simplify right side
    10,442.34x = 82,524,699.06
  5. Step 5: Solve for x
    x = 82,524,699.06/10,442.34
  6. Step 6: Final answer
    x = 7,902.89

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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.