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Finding the Fourth Proportional to 10,416.85, 14,375.61 and 5,701.14

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Solution

The fourth proportional to 10,416.85, 14,375.61 and 5,701.14 is: 7,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.85 : 14,375.61 = 5,701.14 : x
  2. Step 2: Convert to fraction form
    10,416.85/14,375.61 = 5,701.14/x
  3. Step 3: Cross multiply
    10,416.85x = 14,375.61 × 5,701.14
  4. Step 4: Simplify right side
    10,416.85x = 81,957,365.20
  5. Step 5: Solve for x
    x = 81,957,365.20/10,416.85
  6. Step 6: Final answer
    x = 7,867.77

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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.