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Finding the Fourth Proportional to 12,016.16, 16,582.14 and 6,711.06

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Solution

The fourth proportional to 12,016.16, 16,582.14 and 6,711.06 is: 9,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.16 : 16,582.14 = 6,711.06 : x
  2. Step 2: Convert to fraction form
    12,016.16/16,582.14 = 6,711.06/x
  3. Step 3: Cross multiply
    12,016.16x = 16,582.14 × 6,711.06
  4. Step 4: Simplify right side
    12,016.16x = 111,283,736.47
  5. Step 5: Solve for x
    x = 111,283,736.47/12,016.16
  6. Step 6: Final answer
    x = 9,261.18

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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.