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Finding the Fourth Proportional to 8,139.96, 12,210.48 and 2,296.08

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Solution

The fourth proportional to 8,139.96, 12,210.48 and 2,296.08 is: 3,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.96 : 12,210.48 = 2,296.08 : x
  2. Step 2: Convert to fraction form
    8,139.96/12,210.48 = 2,296.08/x
  3. Step 3: Cross multiply
    8,139.96x = 12,210.48 × 2,296.08
  4. Step 4: Simplify right side
    8,139.96x = 28,036,238.92
  5. Step 5: Solve for x
    x = 28,036,238.92/8,139.96
  6. Step 6: Final answer
    x = 3,444.27

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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.