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Finding the Fourth Proportional to 8,445.64, 11,638.74 and 5,957.32

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Solution

The fourth proportional to 8,445.64, 11,638.74 and 5,957.32 is: 8,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.64 : 11,638.74 = 5,957.32 : x
  2. Step 2: Convert to fraction form
    8,445.64/11,638.74 = 5,957.32/x
  3. Step 3: Cross multiply
    8,445.64x = 11,638.74 × 5,957.32
  4. Step 4: Simplify right side
    8,445.64x = 69,335,698.58
  5. Step 5: Solve for x
    x = 69,335,698.58/8,445.64
  6. Step 6: Final answer
    x = 8,209.64

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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.