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Finding the Fourth Proportional to 8,731.57, 12,048.86 and 6,084.69

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Solution

The fourth proportional to 8,731.57, 12,048.86 and 6,084.69 is: 8,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.57 : 12,048.86 = 6,084.69 : x
  2. Step 2: Convert to fraction form
    8,731.57/12,048.86 = 6,084.69/x
  3. Step 3: Cross multiply
    8,731.57x = 12,048.86 × 6,084.69
  4. Step 4: Simplify right side
    8,731.57x = 73,313,547.53
  5. Step 5: Solve for x
    x = 73,313,547.53/8,731.57
  6. Step 6: Final answer
    x = 8,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.