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Finding the Fourth Proportional to 10,059.88, 15,090.65 and 3,134.38

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Solution

The fourth proportional to 10,059.88, 15,090.65 and 3,134.38 is: 4,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.88 : 15,090.65 = 3,134.38 : x
  2. Step 2: Convert to fraction form
    10,059.88/15,090.65 = 3,134.38/x
  3. Step 3: Cross multiply
    10,059.88x = 15,090.65 × 3,134.38
  4. Step 4: Simplify right side
    10,059.88x = 47,299,740.42
  5. Step 5: Solve for x
    x = 47,299,740.42/10,059.88
  6. Step 6: Final answer
    x = 4,701.82

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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.