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Finding the Fourth Proportional to 12,115.04, 16,718.06 and 6,809.47

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Solution

The fourth proportional to 12,115.04, 16,718.06 and 6,809.47 is: 9,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.04 : 16,718.06 = 6,809.47 : x
  2. Step 2: Convert to fraction form
    12,115.04/16,718.06 = 6,809.47/x
  3. Step 3: Cross multiply
    12,115.04x = 16,718.06 × 6,809.47
  4. Step 4: Simplify right side
    12,115.04x = 113,841,103.26
  5. Step 5: Solve for x
    x = 113,841,103.26/12,115.04
  6. Step 6: Final answer
    x = 9,396.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.