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Finding the Fourth Proportional to 10,588.80, 14,612.61 and 5,873.38

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Solution

The fourth proportional to 10,588.80, 14,612.61 and 5,873.38 is: 8,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.80 : 14,612.61 = 5,873.38 : x
  2. Step 2: Convert to fraction form
    10,588.80/14,612.61 = 5,873.38/x
  3. Step 3: Cross multiply
    10,588.80x = 14,612.61 × 5,873.38
  4. Step 4: Simplify right side
    10,588.80x = 85,825,411.32
  5. Step 5: Solve for x
    x = 85,825,411.32/10,588.80
  6. Step 6: Final answer
    x = 8,105.30

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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.