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Finding the Fourth Proportional to 10,217.76, 14,100.88 and 5,741.60

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Solution

The fourth proportional to 10,217.76, 14,100.88 and 5,741.60 is: 7,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.76 : 14,100.88 = 5,741.60 : x
  2. Step 2: Convert to fraction form
    10,217.76/14,100.88 = 5,741.60/x
  3. Step 3: Cross multiply
    10,217.76x = 14,100.88 × 5,741.60
  4. Step 4: Simplify right side
    10,217.76x = 80,961,612.61
  5. Step 5: Solve for x
    x = 80,961,612.61/10,217.76
  6. Step 6: Final answer
    x = 7,923.62

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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.