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Finding the Fourth Proportional to 11,822.96, 16,316.52 and 6,788

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Solution

The fourth proportional to 11,822.96, 16,316.52 and 6,788 is: 9,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.96 : 16,316.52 = 6,788 : x
  2. Step 2: Convert to fraction form
    11,822.96/16,316.52 = 6,788/x
  3. Step 3: Cross multiply
    11,822.96x = 16,316.52 × 6,788
  4. Step 4: Simplify right side
    11,822.96x = 110,756,537.76
  5. Step 5: Solve for x
    x = 110,756,537.76/11,822.96
  6. Step 6: Final answer
    x = 9,367.92

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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.