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Finding the Fourth Proportional to 7,652.16, 11,478.24 and 2,461.68

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Solution

The fourth proportional to 7,652.16, 11,478.24 and 2,461.68 is: 3,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.16 : 11,478.24 = 2,461.68 : x
  2. Step 2: Convert to fraction form
    7,652.16/11,478.24 = 2,461.68/x
  3. Step 3: Cross multiply
    7,652.16x = 11,478.24 × 2,461.68
  4. Step 4: Simplify right side
    7,652.16x = 28,255,753.84
  5. Step 5: Solve for x
    x = 28,255,753.84/7,652.16
  6. Step 6: Final answer
    x = 3,692.52

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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.