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Finding the Fourth Proportional to 8,677.66, 13,003.35 and 5,745.46

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Solution

The fourth proportional to 8,677.66, 13,003.35 and 5,745.46 is: 8,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.66 : 13,003.35 = 5,745.46 : x
  2. Step 2: Convert to fraction form
    8,677.66/13,003.35 = 5,745.46/x
  3. Step 3: Cross multiply
    8,677.66x = 13,003.35 × 5,745.46
  4. Step 4: Simplify right side
    8,677.66x = 74,710,227.29
  5. Step 5: Solve for x
    x = 74,710,227.29/8,677.66
  6. Step 6: Final answer
    x = 8,609.49

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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.