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Finding the Fourth Proportional to 11,822.88, 16,316.55 and 6,788.08

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Solution

The fourth proportional to 11,822.88, 16,316.55 and 6,788.08 is: 9,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.88 : 16,316.55 = 6,788.08 : x
  2. Step 2: Convert to fraction form
    11,822.88/16,316.55 = 6,788.08/x
  3. Step 3: Cross multiply
    11,822.88x = 16,316.55 × 6,788.08
  4. Step 4: Simplify right side
    11,822.88x = 110,757,965.14
  5. Step 5: Solve for x
    x = 110,757,965.14/11,822.88
  6. Step 6: Final answer
    x = 9,368.10

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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.