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Finding the Fourth Proportional to 10,597.68, 14,625.28 and 5,882

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Solution

The fourth proportional to 10,597.68, 14,625.28 and 5,882 is: 8,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.68 : 14,625.28 = 5,882 : x
  2. Step 2: Convert to fraction form
    10,597.68/14,625.28 = 5,882/x
  3. Step 3: Cross multiply
    10,597.68x = 14,625.28 × 5,882
  4. Step 4: Simplify right side
    10,597.68x = 86,025,896.96
  5. Step 5: Solve for x
    x = 86,025,896.96/10,597.68
  6. Step 6: Final answer
    x = 8,117.43

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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.