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Finding the Fourth Proportional to 10,306.01, 14,218.23 and 6,320.20

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Solution

The fourth proportional to 10,306.01, 14,218.23 and 6,320.20 is: 8,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.01 : 14,218.23 = 6,320.20 : x
  2. Step 2: Convert to fraction form
    10,306.01/14,218.23 = 6,320.20/x
  3. Step 3: Cross multiply
    10,306.01x = 14,218.23 × 6,320.20
  4. Step 4: Simplify right side
    10,306.01x = 89,862,112.05
  5. Step 5: Solve for x
    x = 89,862,112.05/10,306.01
  6. Step 6: Final answer
    x = 8,719.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.