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Finding the Fourth Proportional to 11,511.20, 15,888.12 and 7,318.64

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Solution

The fourth proportional to 11,511.20, 15,888.12 and 7,318.64 is: 10,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.20 : 15,888.12 = 7,318.64 : x
  2. Step 2: Convert to fraction form
    11,511.20/15,888.12 = 7,318.64/x
  3. Step 3: Cross multiply
    11,511.20x = 15,888.12 × 7,318.64
  4. Step 4: Simplify right side
    11,511.20x = 116,279,430.56
  5. Step 5: Solve for x
    x = 116,279,430.56/11,511.20
  6. Step 6: Final answer
    x = 10,101.42

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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.