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Finding the Fourth Proportional to 8,378.21, 11,561.94 and 5,022.97

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Solution

The fourth proportional to 8,378.21, 11,561.94 and 5,022.97 is: 6,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.21 : 11,561.94 = 5,022.97 : x
  2. Step 2: Convert to fraction form
    8,378.21/11,561.94 = 5,022.97/x
  3. Step 3: Cross multiply
    8,378.21x = 11,561.94 × 5,022.97
  4. Step 4: Simplify right side
    8,378.21x = 58,075,248.86
  5. Step 5: Solve for x
    x = 58,075,248.86/8,378.21
  6. Step 6: Final answer
    x = 6,931.70

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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.