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Finding the Fourth Proportional to 10,598.48, 14,625.72 and 5,882.96

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Solution

The fourth proportional to 10,598.48, 14,625.72 and 5,882.96 is: 8,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.48 : 14,625.72 = 5,882.96 : x
  2. Step 2: Convert to fraction form
    10,598.48/14,625.72 = 5,882.96/x
  3. Step 3: Cross multiply
    10,598.48x = 14,625.72 × 5,882.96
  4. Step 4: Simplify right side
    10,598.48x = 86,042,525.73
  5. Step 5: Solve for x
    x = 86,042,525.73/10,598.48
  6. Step 6: Final answer
    x = 8,118.38

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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.