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Finding the Fourth Proportional to 10,416.91, 14,375.33 and 5,701.19

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Solution

The fourth proportional to 10,416.91, 14,375.33 and 5,701.19 is: 7,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.91 : 14,375.33 = 5,701.19 : x
  2. Step 2: Convert to fraction form
    10,416.91/14,375.33 = 5,701.19/x
  3. Step 3: Cross multiply
    10,416.91x = 14,375.33 × 5,701.19
  4. Step 4: Simplify right side
    10,416.91x = 81,956,487.64
  5. Step 5: Solve for x
    x = 81,956,487.64/10,416.91
  6. Step 6: Final answer
    x = 7,867.64

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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.