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Finding the Fourth Proportional to 8,827.84, 13,250.40 and 6,008

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Solution

The fourth proportional to 8,827.84, 13,250.40 and 6,008 is: 9,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.84 : 13,250.40 = 6,008 : x
  2. Step 2: Convert to fraction form
    8,827.84/13,250.40 = 6,008/x
  3. Step 3: Cross multiply
    8,827.84x = 13,250.40 × 6,008
  4. Step 4: Simplify right side
    8,827.84x = 79,608,403.20
  5. Step 5: Solve for x
    x = 79,608,403.20/8,827.84
  6. Step 6: Final answer
    x = 9,017.88

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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.