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Finding the Fourth Proportional to 10,416.78, 14,375.13 and 5,701.02

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Solution

The fourth proportional to 10,416.78, 14,375.13 and 5,701.02 is: 7,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.78 : 14,375.13 = 5,701.02 : x
  2. Step 2: Convert to fraction form
    10,416.78/14,375.13 = 5,701.02/x
  3. Step 3: Cross multiply
    10,416.78x = 14,375.13 × 5,701.02
  4. Step 4: Simplify right side
    10,416.78x = 81,952,903.63
  5. Step 5: Solve for x
    x = 81,952,903.63/10,416.78
  6. Step 6: Final answer
    x = 7,867.39

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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.