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Finding the Fourth Proportional to 8,627.52, 12,941.28 and 4,008

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Solution

The fourth proportional to 8,627.52, 12,941.28 and 4,008 is: 6,012

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.52 : 12,941.28 = 4,008 : x
  2. Step 2: Convert to fraction form
    8,627.52/12,941.28 = 4,008/x
  3. Step 3: Cross multiply
    8,627.52x = 12,941.28 × 4,008
  4. Step 4: Simplify right side
    8,627.52x = 51,868,650.24
  5. Step 5: Solve for x
    x = 51,868,650.24/8,627.52
  6. Step 6: Final answer
    x = 6,012

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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.