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Finding the Fourth Proportional to 10,313.38, 14,232.72 and 5,597.65

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Solution

The fourth proportional to 10,313.38, 14,232.72 and 5,597.65 is: 7,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.38 : 14,232.72 = 5,597.65 : x
  2. Step 2: Convert to fraction form
    10,313.38/14,232.72 = 5,597.65/x
  3. Step 3: Cross multiply
    10,313.38x = 14,232.72 × 5,597.65
  4. Step 4: Simplify right side
    10,313.38x = 79,669,713.94
  5. Step 5: Solve for x
    x = 79,669,713.94/10,313.38
  6. Step 6: Final answer
    x = 7,724.89

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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.