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Finding the Fourth Proportional to 8,309.42, 12,460.47 and 3,111.65

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Solution

The fourth proportional to 8,309.42, 12,460.47 and 3,111.65 is: 4,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.42 : 12,460.47 = 3,111.65 : x
  2. Step 2: Convert to fraction form
    8,309.42/12,460.47 = 3,111.65/x
  3. Step 3: Cross multiply
    8,309.42x = 12,460.47 × 3,111.65
  4. Step 4: Simplify right side
    8,309.42x = 38,772,559.17
  5. Step 5: Solve for x
    x = 38,772,559.17/8,309.42
  6. Step 6: Final answer
    x = 4,666.10

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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.