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Finding the Fourth Proportional to 7,666.38, 10,579.51 and 4,309.76

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Solution

The fourth proportional to 7,666.38, 10,579.51 and 4,309.76 is: 5,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.38 : 10,579.51 = 4,309.76 : x
  2. Step 2: Convert to fraction form
    7,666.38/10,579.51 = 4,309.76/x
  3. Step 3: Cross multiply
    7,666.38x = 10,579.51 × 4,309.76
  4. Step 4: Simplify right side
    7,666.38x = 45,595,149.02
  5. Step 5: Solve for x
    x = 45,595,149.02/7,666.38
  6. Step 6: Final answer
    x = 5,947.42

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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.