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Finding the Fourth Proportional to 11,998.54, 16,557.41 and 6,547.29

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Solution

The fourth proportional to 11,998.54, 16,557.41 and 6,547.29 is: 9,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.54 : 16,557.41 = 6,547.29 : x
  2. Step 2: Convert to fraction form
    11,998.54/16,557.41 = 6,547.29/x
  3. Step 3: Cross multiply
    11,998.54x = 16,557.41 × 6,547.29
  4. Step 4: Simplify right side
    11,998.54x = 108,406,164.92
  5. Step 5: Solve for x
    x = 108,406,164.92/11,998.54
  6. Step 6: Final answer
    x = 9,034.95

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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.