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Finding the Fourth Proportional to 8,009.32, 12,013.71 and 2,815.06

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Solution

The fourth proportional to 8,009.32, 12,013.71 and 2,815.06 is: 4,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.32 : 12,013.71 = 2,815.06 : x
  2. Step 2: Convert to fraction form
    8,009.32/12,013.71 = 2,815.06/x
  3. Step 3: Cross multiply
    8,009.32x = 12,013.71 × 2,815.06
  4. Step 4: Simplify right side
    8,009.32x = 33,819,314.47
  5. Step 5: Solve for x
    x = 33,819,314.47/8,009.32
  6. Step 6: Final answer
    x = 4,222.50

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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.