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Finding the Fourth Proportional to 11,585.97, 15,988.59 and 6,280.74

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Solution

The fourth proportional to 11,585.97, 15,988.59 and 6,280.74 is: 8,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.97 : 15,988.59 = 6,280.74 : x
  2. Step 2: Convert to fraction form
    11,585.97/15,988.59 = 6,280.74/x
  3. Step 3: Cross multiply
    11,585.97x = 15,988.59 × 6,280.74
  4. Step 4: Simplify right side
    11,585.97x = 100,420,176.76
  5. Step 5: Solve for x
    x = 100,420,176.76/11,585.97
  6. Step 6: Final answer
    x = 8,667.39

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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.