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Finding the Fourth Proportional to 8,677.77, 11,977.25 and 5,094.33

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Solution

The fourth proportional to 8,677.77, 11,977.25 and 5,094.33 is: 7,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.77 : 11,977.25 = 5,094.33 : x
  2. Step 2: Convert to fraction form
    8,677.77/11,977.25 = 5,094.33/x
  3. Step 3: Cross multiply
    8,677.77x = 11,977.25 × 5,094.33
  4. Step 4: Simplify right side
    8,677.77x = 61,016,038.52
  5. Step 5: Solve for x
    x = 61,016,038.52/8,677.77
  6. Step 6: Final answer
    x = 7,031.30

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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.