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Finding the Fourth Proportional to 10,232.72, 14,125.84 and 7,715.84

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Solution

The fourth proportional to 10,232.72, 14,125.84 and 7,715.84 is: 10,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.72 : 14,125.84 = 7,715.84 : x
  2. Step 2: Convert to fraction form
    10,232.72/14,125.84 = 7,715.84/x
  3. Step 3: Cross multiply
    10,232.72x = 14,125.84 × 7,715.84
  4. Step 4: Simplify right side
    10,232.72x = 108,992,721.31
  5. Step 5: Solve for x
    x = 108,992,721.31/10,232.72
  6. Step 6: Final answer
    x = 10,651.39

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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.