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Finding the Fourth Proportional to 8,534.28, 12,803.58 and 2,378.28

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Solution

The fourth proportional to 8,534.28, 12,803.58 and 2,378.28 is: 3,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.28 : 12,803.58 = 2,378.28 : x
  2. Step 2: Convert to fraction form
    8,534.28/12,803.58 = 2,378.28/x
  3. Step 3: Cross multiply
    8,534.28x = 12,803.58 × 2,378.28
  4. Step 4: Simplify right side
    8,534.28x = 30,450,498.24
  5. Step 5: Solve for x
    x = 30,450,498.24/8,534.28
  6. Step 6: Final answer
    x = 3,568.02

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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.