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Finding the Fourth Proportional to 10,372.90, 14,314.65 and 5,657.21

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Solution

The fourth proportional to 10,372.90, 14,314.65 and 5,657.21 is: 7,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.90 : 14,314.65 = 5,657.21 : x
  2. Step 2: Convert to fraction form
    10,372.90/14,314.65 = 5,657.21/x
  3. Step 3: Cross multiply
    10,372.90x = 14,314.65 × 5,657.21
  4. Step 4: Simplify right side
    10,372.90x = 80,980,981.13
  5. Step 5: Solve for x
    x = 80,980,981.13/10,372.90
  6. Step 6: Final answer
    x = 7,806.98

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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.