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Finding the Fourth Proportional to 10,381.70, 14,327.01 and 5,666.02

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Solution

The fourth proportional to 10,381.70, 14,327.01 and 5,666.02 is: 7,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.70 : 14,327.01 = 5,666.02 : x
  2. Step 2: Convert to fraction form
    10,381.70/14,327.01 = 5,666.02/x
  3. Step 3: Cross multiply
    10,381.70x = 14,327.01 × 5,666.02
  4. Step 4: Simplify right side
    10,381.70x = 81,177,089.38
  5. Step 5: Solve for x
    x = 81,177,089.38/10,381.70
  6. Step 6: Final answer
    x = 7,819.25

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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.