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Finding the Fourth Proportional to 11,854.77, 16,352.73 and 7,663.02

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Solution

The fourth proportional to 11,854.77, 16,352.73 and 7,663.02 is: 10,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.77 : 16,352.73 = 7,663.02 : x
  2. Step 2: Convert to fraction form
    11,854.77/16,352.73 = 7,663.02/x
  3. Step 3: Cross multiply
    11,854.77x = 16,352.73 × 7,663.02
  4. Step 4: Simplify right side
    11,854.77x = 125,311,297.04
  5. Step 5: Solve for x
    x = 125,311,297.04/11,854.77
  6. Step 6: Final answer
    x = 10,570.54

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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.