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Finding the Fourth Proportional to 10,218.56, 14,102.52 and 6,026

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Solution

The fourth proportional to 10,218.56, 14,102.52 and 6,026 is: 8,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.56 : 14,102.52 = 6,026 : x
  2. Step 2: Convert to fraction form
    10,218.56/14,102.52 = 6,026/x
  3. Step 3: Cross multiply
    10,218.56x = 14,102.52 × 6,026
  4. Step 4: Simplify right side
    10,218.56x = 84,981,785.52
  5. Step 5: Solve for x
    x = 84,981,785.52/10,218.56
  6. Step 6: Final answer
    x = 8,316.41

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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.