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Finding the Fourth Proportional to 10,080.55, 15,122.64 and 4,154.14

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Solution

The fourth proportional to 10,080.55, 15,122.64 and 4,154.14 is: 6,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.55 : 15,122.64 = 4,154.14 : x
  2. Step 2: Convert to fraction form
    10,080.55/15,122.64 = 4,154.14/x
  3. Step 3: Cross multiply
    10,080.55x = 15,122.64 × 4,154.14
  4. Step 4: Simplify right side
    10,080.55x = 62,821,541.50
  5. Step 5: Solve for x
    x = 62,821,541.50/10,080.55
  6. Step 6: Final answer
    x = 6,231.96

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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.