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Finding the Fourth Proportional to 10,507.79, 15,741.14 and 6,335.42

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Solution

The fourth proportional to 10,507.79, 15,741.14 and 6,335.42 is: 9,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.79 : 15,741.14 = 6,335.42 : x
  2. Step 2: Convert to fraction form
    10,507.79/15,741.14 = 6,335.42/x
  3. Step 3: Cross multiply
    10,507.79x = 15,741.14 × 6,335.42
  4. Step 4: Simplify right side
    10,507.79x = 99,726,622.80
  5. Step 5: Solve for x
    x = 99,726,622.80/10,507.79
  6. Step 6: Final answer
    x = 9,490.73

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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.