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Finding the Fourth Proportional to 8,308.09, 12,465.78 and 5,715.28

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Solution

The fourth proportional to 8,308.09, 12,465.78 and 5,715.28 is: 8,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.09 : 12,465.78 = 5,715.28 : x
  2. Step 2: Convert to fraction form
    8,308.09/12,465.78 = 5,715.28/x
  3. Step 3: Cross multiply
    8,308.09x = 12,465.78 × 5,715.28
  4. Step 4: Simplify right side
    8,308.09x = 71,245,423.12
  5. Step 5: Solve for x
    x = 71,245,423.12/8,308.09
  6. Step 6: Final answer
    x = 8,575.43

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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.