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Finding the Fourth Proportional to 10,588.80, 14,612.80 and 5,873.28

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Solution

The fourth proportional to 10,588.80, 14,612.80 and 5,873.28 is: 8,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.80 : 14,612.80 = 5,873.28 : x
  2. Step 2: Convert to fraction form
    10,588.80/14,612.80 = 5,873.28/x
  3. Step 3: Cross multiply
    10,588.80x = 14,612.80 × 5,873.28
  4. Step 4: Simplify right side
    10,588.80x = 85,825,065.98
  5. Step 5: Solve for x
    x = 85,825,065.98/10,588.80
  6. Step 6: Final answer
    x = 8,105.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.