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Finding the Fourth Proportional to 8,652.24, 12,977.28 and 3,461.76

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Solution

The fourth proportional to 8,652.24, 12,977.28 and 3,461.76 is: 5,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.24 : 12,977.28 = 3,461.76 : x
  2. Step 2: Convert to fraction form
    8,652.24/12,977.28 = 3,461.76/x
  3. Step 3: Cross multiply
    8,652.24x = 12,977.28 × 3,461.76
  4. Step 4: Simplify right side
    8,652.24x = 44,924,228.81
  5. Step 5: Solve for x
    x = 44,924,228.81/8,652.24
  6. Step 6: Final answer
    x = 5,192.21

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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.