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Finding the Fourth Proportional to 8,671.60, 13,009.20 and 2,828.65

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Solution

The fourth proportional to 8,671.60, 13,009.20 and 2,828.65 is: 4,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.60 : 13,009.20 = 2,828.65 : x
  2. Step 2: Convert to fraction form
    8,671.60/13,009.20 = 2,828.65/x
  3. Step 3: Cross multiply
    8,671.60x = 13,009.20 × 2,828.65
  4. Step 4: Simplify right side
    8,671.60x = 36,798,473.58
  5. Step 5: Solve for x
    x = 36,798,473.58/8,671.60
  6. Step 6: Final answer
    x = 4,243.56

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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.