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Finding the Fourth Proportional to 8,315.68, 11,486.82 and 7,725.19

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Solution

The fourth proportional to 8,315.68, 11,486.82 and 7,725.19 is: 10,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.68 : 11,486.82 = 7,725.19 : x
  2. Step 2: Convert to fraction form
    8,315.68/11,486.82 = 7,725.19/x
  3. Step 3: Cross multiply
    8,315.68x = 11,486.82 × 7,725.19
  4. Step 4: Simplify right side
    8,315.68x = 88,737,867.00
  5. Step 5: Solve for x
    x = 88,737,867.00/8,315.68
  6. Step 6: Final answer
    x = 10,671.15

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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.