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Finding the Fourth Proportional to 8,698.10, 13,048.17 and 2,772.92

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Solution

The fourth proportional to 8,698.10, 13,048.17 and 2,772.92 is: 4,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.10 : 13,048.17 = 2,772.92 : x
  2. Step 2: Convert to fraction form
    8,698.10/13,048.17 = 2,772.92/x
  3. Step 3: Cross multiply
    8,698.10x = 13,048.17 × 2,772.92
  4. Step 4: Simplify right side
    8,698.10x = 36,181,564.18
  5. Step 5: Solve for x
    x = 36,181,564.18/8,698.10
  6. Step 6: Final answer
    x = 4,159.71

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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.