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Finding the Fourth Proportional to 7,672.38, 10,588.20 and 4,315.35

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Solution

The fourth proportional to 7,672.38, 10,588.20 and 4,315.35 is: 5,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.38 : 10,588.20 = 4,315.35 : x
  2. Step 2: Convert to fraction form
    7,672.38/10,588.20 = 4,315.35/x
  3. Step 3: Cross multiply
    7,672.38x = 10,588.20 × 4,315.35
  4. Step 4: Simplify right side
    7,672.38x = 45,691,788.87
  5. Step 5: Solve for x
    x = 45,691,788.87/7,672.38
  6. Step 6: Final answer
    x = 5,955.36

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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.