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Finding the Fourth Proportional to 11,465.77, 15,822.19 and 6,749.75

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Solution

The fourth proportional to 11,465.77, 15,822.19 and 6,749.75 is: 9,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.77 : 15,822.19 = 6,749.75 : x
  2. Step 2: Convert to fraction form
    11,465.77/15,822.19 = 6,749.75/x
  3. Step 3: Cross multiply
    11,465.77x = 15,822.19 × 6,749.75
  4. Step 4: Simplify right side
    11,465.77x = 106,795,826.95
  5. Step 5: Solve for x
    x = 106,795,826.95/11,465.77
  6. Step 6: Final answer
    x = 9,314.32

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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.