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Finding the Fourth Proportional to 10,308.34, 15,462.51 and 5,117.86

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Solution

The fourth proportional to 10,308.34, 15,462.51 and 5,117.86 is: 7,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.34 : 15,462.51 = 5,117.86 : x
  2. Step 2: Convert to fraction form
    10,308.34/15,462.51 = 5,117.86/x
  3. Step 3: Cross multiply
    10,308.34x = 15,462.51 × 5,117.86
  4. Step 4: Simplify right side
    10,308.34x = 79,134,961.43
  5. Step 5: Solve for x
    x = 79,134,961.43/10,308.34
  6. Step 6: Final answer
    x = 7,676.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.