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Finding the Fourth Proportional to 8,011.53, 12,019.74 and 3,798.02

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Solution

The fourth proportional to 8,011.53, 12,019.74 and 3,798.02 is: 5,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.53 : 12,019.74 = 3,798.02 : x
  2. Step 2: Convert to fraction form
    8,011.53/12,019.74 = 3,798.02/x
  3. Step 3: Cross multiply
    8,011.53x = 12,019.74 × 3,798.02
  4. Step 4: Simplify right side
    8,011.53x = 45,651,152.82
  5. Step 5: Solve for x
    x = 45,651,152.82/8,011.53
  6. Step 6: Final answer
    x = 5,698.18

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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.