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Finding the Fourth Proportional to 8,309.39, 12,460.43 and 3,111.62

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Solution

The fourth proportional to 8,309.39, 12,460.43 and 3,111.62 is: 4,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.39 : 12,460.43 = 3,111.62 : x
  2. Step 2: Convert to fraction form
    8,309.39/12,460.43 = 3,111.62/x
  3. Step 3: Cross multiply
    8,309.39x = 12,460.43 × 3,111.62
  4. Step 4: Simplify right side
    8,309.39x = 38,772,051.17
  5. Step 5: Solve for x
    x = 38,772,051.17/8,309.39
  6. Step 6: Final answer
    x = 4,666.06

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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.