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Finding the Fourth Proportional to 10,584.76, 15,876.02 and 4,345.44

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Solution

The fourth proportional to 10,584.76, 15,876.02 and 4,345.44 is: 6,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.76 : 15,876.02 = 4,345.44 : x
  2. Step 2: Convert to fraction form
    10,584.76/15,876.02 = 4,345.44/x
  3. Step 3: Cross multiply
    10,584.76x = 15,876.02 × 4,345.44
  4. Step 4: Simplify right side
    10,584.76x = 68,988,292.35
  5. Step 5: Solve for x
    x = 68,988,292.35/10,584.76
  6. Step 6: Final answer
    x = 6,517.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.