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Finding the Fourth Proportional to 10,373.26, 14,314.98 and 5,657.44

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Solution

The fourth proportional to 10,373.26, 14,314.98 and 5,657.44 is: 7,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.26 : 14,314.98 = 5,657.44 : x
  2. Step 2: Convert to fraction form
    10,373.26/14,314.98 = 5,657.44/x
  3. Step 3: Cross multiply
    10,373.26x = 14,314.98 × 5,657.44
  4. Step 4: Simplify right side
    10,373.26x = 80,986,140.45
  5. Step 5: Solve for x
    x = 80,986,140.45/10,373.26
  6. Step 6: Final answer
    x = 7,807.20

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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.