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Finding the Fourth Proportional to 10,287.16, 15,340.40 and 10,193.60

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Solution

The fourth proportional to 10,287.16, 15,340.40 and 10,193.60 is: 15,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.16 : 15,340.40 = 10,193.60 : x
  2. Step 2: Convert to fraction form
    10,287.16/15,340.40 = 10,193.60/x
  3. Step 3: Cross multiply
    10,287.16x = 15,340.40 × 10,193.60
  4. Step 4: Simplify right side
    10,287.16x = 156,373,965.28
  5. Step 5: Solve for x
    x = 156,373,965.28/10,287.16
  6. Step 6: Final answer
    x = 15,200.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.