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Finding the Fourth Proportional to 7,667.59, 10,579.39 and 4,309.74

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Solution

The fourth proportional to 7,667.59, 10,579.39 and 4,309.74 is: 5,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.59 : 10,579.39 = 4,309.74 : x
  2. Step 2: Convert to fraction form
    7,667.59/10,579.39 = 4,309.74/x
  3. Step 3: Cross multiply
    7,667.59x = 10,579.39 × 4,309.74
  4. Step 4: Simplify right side
    7,667.59x = 45,594,420.26
  5. Step 5: Solve for x
    x = 45,594,420.26/7,667.59
  6. Step 6: Final answer
    x = 5,946.38

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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.