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Finding the Fourth Proportional to 8,023.83, 12,030.62 and 3,347.07

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Solution

The fourth proportional to 8,023.83, 12,030.62 and 3,347.07 is: 5,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.83 : 12,030.62 = 3,347.07 : x
  2. Step 2: Convert to fraction form
    8,023.83/12,030.62 = 3,347.07/x
  3. Step 3: Cross multiply
    8,023.83x = 12,030.62 × 3,347.07
  4. Step 4: Simplify right side
    8,023.83x = 40,267,250.39
  5. Step 5: Solve for x
    x = 40,267,250.39/8,023.83
  6. Step 6: Final answer
    x = 5,018.46

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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.