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Finding the Fourth Proportional to 10,012.56, 13,817.88 and 6,478.80

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Solution

The fourth proportional to 10,012.56, 13,817.88 and 6,478.80 is: 8,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.56 : 13,817.88 = 6,478.80 : x
  2. Step 2: Convert to fraction form
    10,012.56/13,817.88 = 6,478.80/x
  3. Step 3: Cross multiply
    10,012.56x = 13,817.88 × 6,478.80
  4. Step 4: Simplify right side
    10,012.56x = 89,523,280.94
  5. Step 5: Solve for x
    x = 89,523,280.94/10,012.56
  6. Step 6: Final answer
    x = 8,941.10

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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.