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Finding the Fourth Proportional to 8,305.79, 12,460.74 and 6,841.87

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Solution

The fourth proportional to 8,305.79, 12,460.74 and 6,841.87 is: 10,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.79 : 12,460.74 = 6,841.87 : x
  2. Step 2: Convert to fraction form
    8,305.79/12,460.74 = 6,841.87/x
  3. Step 3: Cross multiply
    8,305.79x = 12,460.74 × 6,841.87
  4. Step 4: Simplify right side
    8,305.79x = 85,254,763.18
  5. Step 5: Solve for x
    x = 85,254,763.18/8,305.79
  6. Step 6: Final answer
    x = 10,264.50

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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.