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Finding the Fourth Proportional to 10,486.35, 14,470.31 and 6,010.49

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Solution

The fourth proportional to 10,486.35, 14,470.31 and 6,010.49 is: 8,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.35 : 14,470.31 = 6,010.49 : x
  2. Step 2: Convert to fraction form
    10,486.35/14,470.31 = 6,010.49/x
  3. Step 3: Cross multiply
    10,486.35x = 14,470.31 × 6,010.49
  4. Step 4: Simplify right side
    10,486.35x = 86,973,704.75
  5. Step 5: Solve for x
    x = 86,973,704.75/10,486.35
  6. Step 6: Final answer
    x = 8,293.99

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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.