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Finding the Fourth Proportional to 8,018.53, 12,029.16 and 2,471.77

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Solution

The fourth proportional to 8,018.53, 12,029.16 and 2,471.77 is: 3,708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.53 : 12,029.16 = 2,471.77 : x
  2. Step 2: Convert to fraction form
    8,018.53/12,029.16 = 2,471.77/x
  3. Step 3: Cross multiply
    8,018.53x = 12,029.16 × 2,471.77
  4. Step 4: Simplify right side
    8,018.53x = 29,733,316.81
  5. Step 5: Solve for x
    x = 29,733,316.81/8,018.53
  6. Step 6: Final answer
    x = 3,708.08

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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.