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Finding the Fourth Proportional to 10,014.48, 13,816.98 and 6,034.68

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Solution

The fourth proportional to 10,014.48, 13,816.98 and 6,034.68 is: 8,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.48 : 13,816.98 = 6,034.68 : x
  2. Step 2: Convert to fraction form
    10,014.48/13,816.98 = 6,034.68/x
  3. Step 3: Cross multiply
    10,014.48x = 13,816.98 × 6,034.68
  4. Step 4: Simplify right side
    10,014.48x = 83,381,052.87
  5. Step 5: Solve for x
    x = 83,381,052.87/10,014.48
  6. Step 6: Final answer
    x = 8,326.05

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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.