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Finding the Fourth Proportional to 8,580.78, 12,867.06 and 4,193.10

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Solution

The fourth proportional to 8,580.78, 12,867.06 and 4,193.10 is: 6,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.78 : 12,867.06 = 4,193.10 : x
  2. Step 2: Convert to fraction form
    8,580.78/12,867.06 = 4,193.10/x
  3. Step 3: Cross multiply
    8,580.78x = 12,867.06 × 4,193.10
  4. Step 4: Simplify right side
    8,580.78x = 53,952,869.29
  5. Step 5: Solve for x
    x = 53,952,869.29/8,580.78
  6. Step 6: Final answer
    x = 6,287.64

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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.