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Finding the Fourth Proportional to 10,811.20, 14,901.96 and 7,827.20

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Solution

The fourth proportional to 10,811.20, 14,901.96 and 7,827.20 is: 10,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.20 : 14,901.96 = 7,827.20 : x
  2. Step 2: Convert to fraction form
    10,811.20/14,901.96 = 7,827.20/x
  3. Step 3: Cross multiply
    10,811.20x = 14,901.96 × 7,827.20
  4. Step 4: Simplify right side
    10,811.20x = 116,640,621.31
  5. Step 5: Solve for x
    x = 116,640,621.31/10,811.20
  6. Step 6: Final answer
    x = 10,788.87

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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.