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Finding the Fourth Proportional to 8,473.14, 12,706.65 and 2,924.82

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Solution

The fourth proportional to 8,473.14, 12,706.65 and 2,924.82 is: 4,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.14 : 12,706.65 = 2,924.82 : x
  2. Step 2: Convert to fraction form
    8,473.14/12,706.65 = 2,924.82/x
  3. Step 3: Cross multiply
    8,473.14x = 12,706.65 × 2,924.82
  4. Step 4: Simplify right side
    8,473.14x = 37,164,664.05
  5. Step 5: Solve for x
    x = 37,164,664.05/8,473.14
  6. Step 6: Final answer
    x = 4,386.17

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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.