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Finding the Fourth Proportional to 11,435.68, 15,781.49 and 8,084.40

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Solution

The fourth proportional to 11,435.68, 15,781.49 and 8,084.40 is: 11,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.68 : 15,781.49 = 8,084.40 : x
  2. Step 2: Convert to fraction form
    11,435.68/15,781.49 = 8,084.40/x
  3. Step 3: Cross multiply
    11,435.68x = 15,781.49 × 8,084.40
  4. Step 4: Simplify right side
    11,435.68x = 127,583,877.76
  5. Step 5: Solve for x
    x = 127,583,877.76/11,435.68
  6. Step 6: Final answer
    x = 11,156.65

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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.