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Finding the Fourth Proportional to 8,008.54, 12,004.45 and 2,742

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Solution

The fourth proportional to 8,008.54, 12,004.45 and 2,742 is: 4,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.54 : 12,004.45 = 2,742 : x
  2. Step 2: Convert to fraction form
    8,008.54/12,004.45 = 2,742/x
  3. Step 3: Cross multiply
    8,008.54x = 12,004.45 × 2,742
  4. Step 4: Simplify right side
    8,008.54x = 32,916,210.47
  5. Step 5: Solve for x
    x = 32,916,210.47/8,008.54
  6. Step 6: Final answer
    x = 4,110.14

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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.