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Finding the Fourth Proportional to 8,278.50, 12,415.98 and 2,730.51

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Solution

The fourth proportional to 8,278.50, 12,415.98 and 2,730.51 is: 4,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.50 : 12,415.98 = 2,730.51 : x
  2. Step 2: Convert to fraction form
    8,278.50/12,415.98 = 2,730.51/x
  3. Step 3: Cross multiply
    8,278.50x = 12,415.98 × 2,730.51
  4. Step 4: Simplify right side
    8,278.50x = 33,901,967.79
  5. Step 5: Solve for x
    x = 33,901,967.79/8,278.50
  6. Step 6: Final answer
    x = 4,095.18

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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.