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Finding the Fourth Proportional to 10,408.13, 14,349.66 and 7,575.97

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Solution

The fourth proportional to 10,408.13, 14,349.66 and 7,575.97 is: 10,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.13 : 14,349.66 = 7,575.97 : x
  2. Step 2: Convert to fraction form
    10,408.13/14,349.66 = 7,575.97/x
  3. Step 3: Cross multiply
    10,408.13x = 14,349.66 × 7,575.97
  4. Step 4: Simplify right side
    10,408.13x = 108,712,521.92
  5. Step 5: Solve for x
    x = 108,712,521.92/10,408.13
  6. Step 6: Final answer
    x = 10,444.96

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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.