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Finding the Fourth Proportional to 10,171.76, 15,283.20 and 6,475.64

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Solution

The fourth proportional to 10,171.76, 15,283.20 and 6,475.64 is: 9,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.76 : 15,283.20 = 6,475.64 : x
  2. Step 2: Convert to fraction form
    10,171.76/15,283.20 = 6,475.64/x
  3. Step 3: Cross multiply
    10,171.76x = 15,283.20 × 6,475.64
  4. Step 4: Simplify right side
    10,171.76x = 98,968,501.25
  5. Step 5: Solve for x
    x = 98,968,501.25/10,171.76
  6. Step 6: Final answer
    x = 9,729.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.