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Finding the Fourth Proportional to 8,469.77, 12,705.93 and 2,924.71

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Solution

The fourth proportional to 8,469.77, 12,705.93 and 2,924.71 is: 4,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.77 : 12,705.93 = 2,924.71 : x
  2. Step 2: Convert to fraction form
    8,469.77/12,705.93 = 2,924.71/x
  3. Step 3: Cross multiply
    8,469.77x = 12,705.93 × 2,924.71
  4. Step 4: Simplify right side
    8,469.77x = 37,161,128.77
  5. Step 5: Solve for x
    x = 37,161,128.77/8,469.77
  6. Step 6: Final answer
    x = 4,387.50

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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.