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Finding the Fourth Proportional to 10,588.88, 14,612.88 and 5,873

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Solution

The fourth proportional to 10,588.88, 14,612.88 and 5,873 is: 8,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.88 : 14,612.88 = 5,873 : x
  2. Step 2: Convert to fraction form
    10,588.88/14,612.88 = 5,873/x
  3. Step 3: Cross multiply
    10,588.88x = 14,612.88 × 5,873
  4. Step 4: Simplify right side
    10,588.88x = 85,821,444.24
  5. Step 5: Solve for x
    x = 85,821,444.24/10,588.88
  6. Step 6: Final answer
    x = 8,104.87

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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.