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Finding the Fourth Proportional to 10,294.68, 14,206.68 and 5,579.04

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Solution

The fourth proportional to 10,294.68, 14,206.68 and 5,579.04 is: 7,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.68 : 14,206.68 = 5,579.04 : x
  2. Step 2: Convert to fraction form
    10,294.68/14,206.68 = 5,579.04/x
  3. Step 3: Cross multiply
    10,294.68x = 14,206.68 × 5,579.04
  4. Step 4: Simplify right side
    10,294.68x = 79,259,635.99
  5. Step 5: Solve for x
    x = 79,259,635.99/10,294.68
  6. Step 6: Final answer
    x = 7,699.09

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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.