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Finding the Fourth Proportional to 8,977.82, 13,468.24 and 4,047.34

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Solution

The fourth proportional to 8,977.82, 13,468.24 and 4,047.34 is: 6,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.82 : 13,468.24 = 4,047.34 : x
  2. Step 2: Convert to fraction form
    8,977.82/13,468.24 = 4,047.34/x
  3. Step 3: Cross multiply
    8,977.82x = 13,468.24 × 4,047.34
  4. Step 4: Simplify right side
    8,977.82x = 54,510,546.48
  5. Step 5: Solve for x
    x = 54,510,546.48/8,977.82
  6. Step 6: Final answer
    x = 6,071.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.