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Finding the Fourth Proportional to 10,174.34, 15,264.86 and 6,421.79

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Solution

The fourth proportional to 10,174.34, 15,264.86 and 6,421.79 is: 9,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.34 : 15,264.86 = 6,421.79 : x
  2. Step 2: Convert to fraction form
    10,174.34/15,264.86 = 6,421.79/x
  3. Step 3: Cross multiply
    10,174.34x = 15,264.86 × 6,421.79
  4. Step 4: Simplify right side
    10,174.34x = 98,027,731.35
  5. Step 5: Solve for x
    x = 98,027,731.35/10,174.34
  6. Step 6: Final answer
    x = 9,634.80

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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.