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Finding the Fourth Proportional to 8,015.82, 12,023.39 and 7,828.10

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Solution

The fourth proportional to 8,015.82, 12,023.39 and 7,828.10 is: 11,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.82 : 12,023.39 = 7,828.10 : x
  2. Step 2: Convert to fraction form
    8,015.82/12,023.39 = 7,828.10/x
  3. Step 3: Cross multiply
    8,015.82x = 12,023.39 × 7,828.10
  4. Step 4: Simplify right side
    8,015.82x = 94,120,312.19
  5. Step 5: Solve for x
    x = 94,120,312.19/8,015.82
  6. Step 6: Final answer
    x = 11,741.82

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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.