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Finding the Fourth Proportional to 10,297.59, 14,211.09 and 6,048.78

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Solution

The fourth proportional to 10,297.59, 14,211.09 and 6,048.78 is: 8,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.59 : 14,211.09 = 6,048.78 : x
  2. Step 2: Convert to fraction form
    10,297.59/14,211.09 = 6,048.78/x
  3. Step 3: Cross multiply
    10,297.59x = 14,211.09 × 6,048.78
  4. Step 4: Simplify right side
    10,297.59x = 85,959,756.97
  5. Step 5: Solve for x
    x = 85,959,756.97/10,297.59
  6. Step 6: Final answer
    x = 8,347.56

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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.