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Finding the Fourth Proportional to 10,937.13, 16,407.86 and 4,011.69

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Solution

The fourth proportional to 10,937.13, 16,407.86 and 4,011.69 is: 6,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.13 : 16,407.86 = 4,011.69 : x
  2. Step 2: Convert to fraction form
    10,937.13/16,407.86 = 4,011.69/x
  3. Step 3: Cross multiply
    10,937.13x = 16,407.86 × 4,011.69
  4. Step 4: Simplify right side
    10,937.13x = 65,823,247.88
  5. Step 5: Solve for x
    x = 65,823,247.88/10,937.13
  6. Step 6: Final answer
    x = 6,018.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.