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Finding the Fourth Proportional to 10,486.82, 14,471.82 and 6,010.66

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Solution

The fourth proportional to 10,486.82, 14,471.82 and 6,010.66 is: 8,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.82 : 14,471.82 = 6,010.66 : x
  2. Step 2: Convert to fraction form
    10,486.82/14,471.82 = 6,010.66/x
  3. Step 3: Cross multiply
    10,486.82x = 14,471.82 × 6,010.66
  4. Step 4: Simplify right side
    10,486.82x = 86,985,189.60
  5. Step 5: Solve for x
    x = 86,985,189.60/10,486.82
  6. Step 6: Final answer
    x = 8,294.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.