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Finding the Fourth Proportional to 10,416.96, 14,375.70 and 5,701.14

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Solution

The fourth proportional to 10,416.96, 14,375.70 and 5,701.14 is: 7,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.96 : 14,375.70 = 5,701.14 : x
  2. Step 2: Convert to fraction form
    10,416.96/14,375.70 = 5,701.14/x
  3. Step 3: Cross multiply
    10,416.96x = 14,375.70 × 5,701.14
  4. Step 4: Simplify right side
    10,416.96x = 81,957,878.30
  5. Step 5: Solve for x
    x = 81,957,878.30/10,416.96
  6. Step 6: Final answer
    x = 7,867.73

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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.