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Finding the Fourth Proportional to 8,645.24, 11,921.64 and 5,661.20

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Solution

The fourth proportional to 8,645.24, 11,921.64 and 5,661.20 is: 7,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.24 : 11,921.64 = 5,661.20 : x
  2. Step 2: Convert to fraction form
    8,645.24/11,921.64 = 5,661.20/x
  3. Step 3: Cross multiply
    8,645.24x = 11,921.64 × 5,661.20
  4. Step 4: Simplify right side
    8,645.24x = 67,490,788.37
  5. Step 5: Solve for x
    x = 67,490,788.37/8,645.24
  6. Step 6: Final answer
    x = 7,806.70

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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.