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Finding the Fourth Proportional to 8,920, 12,308.32 and 5,731.52

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Solution

The fourth proportional to 8,920, 12,308.32 and 5,731.52 is: 7,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920 : 12,308.32 = 5,731.52 : x
  2. Step 2: Convert to fraction form
    8,920/12,308.32 = 5,731.52/x
  3. Step 3: Cross multiply
    8,920x = 12,308.32 × 5,731.52
  4. Step 4: Simplify right side
    8,920x = 70,545,382.25
  5. Step 5: Solve for x
    x = 70,545,382.25/8,920
  6. Step 6: Final answer
    x = 7,908.68

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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.