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Finding the Fourth Proportional to 10,486.29, 14,470.82 and 6,012.66

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Solution

The fourth proportional to 10,486.29, 14,470.82 and 6,012.66 is: 8,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.29 : 14,470.82 = 6,012.66 : x
  2. Step 2: Convert to fraction form
    10,486.29/14,470.82 = 6,012.66/x
  3. Step 3: Cross multiply
    10,486.29x = 14,470.82 × 6,012.66
  4. Step 4: Simplify right side
    10,486.29x = 87,008,090.52
  5. Step 5: Solve for x
    x = 87,008,090.52/10,486.29
  6. Step 6: Final answer
    x = 8,297.32

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