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Finding the Fourth Proportional to 10,453.76, 15,652.56 and 5,513.12

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Solution

The fourth proportional to 10,453.76, 15,652.56 and 5,513.12 is: 8,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.76 : 15,652.56 = 5,513.12 : x
  2. Step 2: Convert to fraction form
    10,453.76/15,652.56 = 5,513.12/x
  3. Step 3: Cross multiply
    10,453.76x = 15,652.56 × 5,513.12
  4. Step 4: Simplify right side
    10,453.76x = 86,294,441.59
  5. Step 5: Solve for x
    x = 86,294,441.59/10,453.76
  6. Step 6: Final answer
    x = 8,254.87

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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.