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Finding the Fourth Proportional to 10,588.14, 14,612.07 and 5,872.38

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Solution

The fourth proportional to 10,588.14, 14,612.07 and 5,872.38 is: 8,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.14 : 14,612.07 = 5,872.38 : x
  2. Step 2: Convert to fraction form
    10,588.14/14,612.07 = 5,872.38/x
  3. Step 3: Cross multiply
    10,588.14x = 14,612.07 × 5,872.38
  4. Step 4: Simplify right side
    10,588.14x = 85,807,627.63
  5. Step 5: Solve for x
    x = 85,807,627.63/10,588.14
  6. Step 6: Final answer
    x = 8,104.13

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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.