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Finding the Fourth Proportional to 8,676.66, 13,001.85 and 5,744.46

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Solution

The fourth proportional to 8,676.66, 13,001.85 and 5,744.46 is: 8,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.66 : 13,001.85 = 5,744.46 : x
  2. Step 2: Convert to fraction form
    8,676.66/13,001.85 = 5,744.46/x
  3. Step 3: Cross multiply
    8,676.66x = 13,001.85 × 5,744.46
  4. Step 4: Simplify right side
    8,676.66x = 74,688,607.25
  5. Step 5: Solve for x
    x = 74,688,607.25/8,676.66
  6. Step 6: Final answer
    x = 8,607.99

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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.