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Finding the Fourth Proportional to 8,968.64, 12,378.78 and 5,819.36

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Solution

The fourth proportional to 8,968.64, 12,378.78 and 5,819.36 is: 8,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.64 : 12,378.78 = 5,819.36 : x
  2. Step 2: Convert to fraction form
    8,968.64/12,378.78 = 5,819.36/x
  3. Step 3: Cross multiply
    8,968.64x = 12,378.78 × 5,819.36
  4. Step 4: Simplify right side
    8,968.64x = 72,036,515.29
  5. Step 5: Solve for x
    x = 72,036,515.29/8,968.64
  6. Step 6: Final answer
    x = 8,032.05

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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.