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Finding the Fourth Proportional to 8,438.64, 12,638.52 and 5,843.40

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Solution

The fourth proportional to 8,438.64, 12,638.52 and 5,843.40 is: 8,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.64 : 12,638.52 = 5,843.40 : x
  2. Step 2: Convert to fraction form
    8,438.64/12,638.52 = 5,843.40/x
  3. Step 3: Cross multiply
    8,438.64x = 12,638.52 × 5,843.40
  4. Step 4: Simplify right side
    8,438.64x = 73,851,927.77
  5. Step 5: Solve for x
    x = 73,851,927.77/8,438.64
  6. Step 6: Final answer
    x = 8,751.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.