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Finding the Fourth Proportional to 10,610.72, 15,905.12 and 4,769

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Solution

The fourth proportional to 10,610.72, 15,905.12 and 4,769 is: 7,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.72 : 15,905.12 = 4,769 : x
  2. Step 2: Convert to fraction form
    10,610.72/15,905.12 = 4,769/x
  3. Step 3: Cross multiply
    10,610.72x = 15,905.12 × 4,769
  4. Step 4: Simplify right side
    10,610.72x = 75,851,517.28
  5. Step 5: Solve for x
    x = 75,851,517.28/10,610.72
  6. Step 6: Final answer
    x = 7,148.57

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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.