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Finding the Fourth Proportional to 8,023.19, 12,036 and 2,477.48

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Solution

The fourth proportional to 8,023.19, 12,036 and 2,477.48 is: 3,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.19 : 12,036 = 2,477.48 : x
  2. Step 2: Convert to fraction form
    8,023.19/12,036 = 2,477.48/x
  3. Step 3: Cross multiply
    8,023.19x = 12,036 × 2,477.48
  4. Step 4: Simplify right side
    8,023.19x = 29,818,889.10
  5. Step 5: Solve for x
    x = 29,818,889.10/8,023.19
  6. Step 6: Final answer
    x = 3,716.59

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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.