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Finding the Fourth Proportional to 10,080.12, 15,055.65 and 8,002.50

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Solution

The fourth proportional to 10,080.12, 15,055.65 and 8,002.50 is: 11,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.12 : 15,055.65 = 8,002.50 : x
  2. Step 2: Convert to fraction form
    10,080.12/15,055.65 = 8,002.50/x
  3. Step 3: Cross multiply
    10,080.12x = 15,055.65 × 8,002.50
  4. Step 4: Simplify right side
    10,080.12x = 120,482,839.13
  5. Step 5: Solve for x
    x = 120,482,839.13/10,080.12
  6. Step 6: Final answer
    x = 11,952.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.