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Finding the Fourth Proportional to 10,676.61, 16,001.91 and 7,557.50

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Solution

The fourth proportional to 10,676.61, 16,001.91 and 7,557.50 is: 11,327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.61 : 16,001.91 = 7,557.50 : x
  2. Step 2: Convert to fraction form
    10,676.61/16,001.91 = 7,557.50/x
  3. Step 3: Cross multiply
    10,676.61x = 16,001.91 × 7,557.50
  4. Step 4: Simplify right side
    10,676.61x = 120,934,354.82
  5. Step 5: Solve for x
    x = 120,934,354.82/10,676.61
  6. Step 6: Final answer
    x = 11,327.04

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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.