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Finding the Fourth Proportional to 10,416.90, 14,375.20 and 5,701.13

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Solution

The fourth proportional to 10,416.90, 14,375.20 and 5,701.13 is: 7,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.90 : 14,375.20 = 5,701.13 : x
  2. Step 2: Convert to fraction form
    10,416.90/14,375.20 = 5,701.13/x
  3. Step 3: Cross multiply
    10,416.90x = 14,375.20 × 5,701.13
  4. Step 4: Simplify right side
    10,416.90x = 81,954,883.98
  5. Step 5: Solve for x
    x = 81,954,883.98/10,416.90
  6. Step 6: Final answer
    x = 7,867.49

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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.