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Finding the Fourth Proportional to 8,293.92, 12,498.06 and 6,865.20

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Solution

The fourth proportional to 8,293.92, 12,498.06 and 6,865.20 is: 10,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.92 : 12,498.06 = 6,865.20 : x
  2. Step 2: Convert to fraction form
    8,293.92/12,498.06 = 6,865.20/x
  3. Step 3: Cross multiply
    8,293.92x = 12,498.06 × 6,865.20
  4. Step 4: Simplify right side
    8,293.92x = 85,801,681.51
  5. Step 5: Solve for x
    x = 85,801,681.51/8,293.92
  6. Step 6: Final answer
    x = 10,345.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.