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Finding the Fourth Proportional to 10,382.50, 15,575.10 and 2,987.20

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Solution

The fourth proportional to 10,382.50, 15,575.10 and 2,987.20 is: 4,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.50 : 15,575.10 = 2,987.20 : x
  2. Step 2: Convert to fraction form
    10,382.50/15,575.10 = 2,987.20/x
  3. Step 3: Cross multiply
    10,382.50x = 15,575.10 × 2,987.20
  4. Step 4: Simplify right side
    10,382.50x = 46,525,938.72
  5. Step 5: Solve for x
    x = 46,525,938.72/10,382.50
  6. Step 6: Final answer
    x = 4,481.19

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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.