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Finding the Fourth Proportional to 10,999.64, 15,178.38 and 7,467.50

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Solution

The fourth proportional to 10,999.64, 15,178.38 and 7,467.50 is: 10,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.64 : 15,178.38 = 7,467.50 : x
  2. Step 2: Convert to fraction form
    10,999.64/15,178.38 = 7,467.50/x
  3. Step 3: Cross multiply
    10,999.64x = 15,178.38 × 7,467.50
  4. Step 4: Simplify right side
    10,999.64x = 113,344,552.65
  5. Step 5: Solve for x
    x = 113,344,552.65/10,999.64
  6. Step 6: Final answer
    x = 10,304.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.