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Finding the Fourth Proportional to 8,649.60, 11,934.28 and 4,872

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Solution

The fourth proportional to 8,649.60, 11,934.28 and 4,872 is: 6,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.60 : 11,934.28 = 4,872 : x
  2. Step 2: Convert to fraction form
    8,649.60/11,934.28 = 4,872/x
  3. Step 3: Cross multiply
    8,649.60x = 11,934.28 × 4,872
  4. Step 4: Simplify right side
    8,649.60x = 58,143,812.16
  5. Step 5: Solve for x
    x = 58,143,812.16/8,649.60
  6. Step 6: Final answer
    x = 6,722.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.