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Finding the Fourth Proportional to 8,977.82, 12,389.40 and 5,201.72

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Solution

The fourth proportional to 8,977.82, 12,389.40 and 5,201.72 is: 7,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.82 : 12,389.40 = 5,201.72 : x
  2. Step 2: Convert to fraction form
    8,977.82/12,389.40 = 5,201.72/x
  3. Step 3: Cross multiply
    8,977.82x = 12,389.40 × 5,201.72
  4. Step 4: Simplify right side
    8,977.82x = 64,446,189.77
  5. Step 5: Solve for x
    x = 64,446,189.77/8,977.82
  6. Step 6: Final answer
    x = 7,178.38

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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.