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Finding the Fourth Proportional to 8,338.64, 11,506.84 and 4,561.05

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Solution

The fourth proportional to 8,338.64, 11,506.84 and 4,561.05 is: 6,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.64 : 11,506.84 = 4,561.05 : x
  2. Step 2: Convert to fraction form
    8,338.64/11,506.84 = 4,561.05/x
  3. Step 3: Cross multiply
    8,338.64x = 11,506.84 × 4,561.05
  4. Step 4: Simplify right side
    8,338.64x = 52,483,272.58
  5. Step 5: Solve for x
    x = 52,483,272.58/8,338.64
  6. Step 6: Final answer
    x = 6,293.98

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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.