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Finding the Fourth Proportional to 8,110.74, 12,129.05 and 5,897.01

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Solution

The fourth proportional to 8,110.74, 12,129.05 and 5,897.01 is: 8,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.74 : 12,129.05 = 5,897.01 : x
  2. Step 2: Convert to fraction form
    8,110.74/12,129.05 = 5,897.01/x
  3. Step 3: Cross multiply
    8,110.74x = 12,129.05 × 5,897.01
  4. Step 4: Simplify right side
    8,110.74x = 71,525,099.66
  5. Step 5: Solve for x
    x = 71,525,099.66/8,110.74
  6. Step 6: Final answer
    x = 8,818.57

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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.