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Finding the Fourth Proportional to 11,115.84, 15,340.08 and 6,400.80

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Solution

The fourth proportional to 11,115.84, 15,340.08 and 6,400.80 is: 8,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.84 : 15,340.08 = 6,400.80 : x
  2. Step 2: Convert to fraction form
    11,115.84/15,340.08 = 6,400.80/x
  3. Step 3: Cross multiply
    11,115.84x = 15,340.08 × 6,400.80
  4. Step 4: Simplify right side
    11,115.84x = 98,188,784.06
  5. Step 5: Solve for x
    x = 98,188,784.06/11,115.84
  6. Step 6: Final answer
    x = 8,833.23

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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.