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Finding the Fourth Proportional to 10,286.68, 14,191.02 and 6,038.08

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Solution

The fourth proportional to 10,286.68, 14,191.02 and 6,038.08 is: 8,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.68 : 14,191.02 = 6,038.08 : x
  2. Step 2: Convert to fraction form
    10,286.68/14,191.02 = 6,038.08/x
  3. Step 3: Cross multiply
    10,286.68x = 14,191.02 × 6,038.08
  4. Step 4: Simplify right side
    10,286.68x = 85,686,514.04
  5. Step 5: Solve for x
    x = 85,686,514.04/10,286.68
  6. Step 6: Final answer
    x = 8,329.85

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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.