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Finding the Fourth Proportional to 8,026.64, 12,036.96 and 2,760.16

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Solution

The fourth proportional to 8,026.64, 12,036.96 and 2,760.16 is: 4,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.64 : 12,036.96 = 2,760.16 : x
  2. Step 2: Convert to fraction form
    8,026.64/12,036.96 = 2,760.16/x
  3. Step 3: Cross multiply
    8,026.64x = 12,036.96 × 2,760.16
  4. Step 4: Simplify right side
    8,026.64x = 33,223,875.33
  5. Step 5: Solve for x
    x = 33,223,875.33/8,026.64
  6. Step 6: Final answer
    x = 4,139.20

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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.