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Finding the Fourth Proportional to 10,987.20, 15,150.24 and 7,002

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Solution

The fourth proportional to 10,987.20, 15,150.24 and 7,002 is: 9,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.20 : 15,150.24 = 7,002 : x
  2. Step 2: Convert to fraction form
    10,987.20/15,150.24 = 7,002/x
  3. Step 3: Cross multiply
    10,987.20x = 15,150.24 × 7,002
  4. Step 4: Simplify right side
    10,987.20x = 106,081,980.48
  5. Step 5: Solve for x
    x = 106,081,980.48/10,987.20
  6. Step 6: Final answer
    x = 9,655.05

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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.