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Finding the Fourth Proportional to 8,014.53, 12,016.13 and 3,080.01

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Solution

The fourth proportional to 8,014.53, 12,016.13 and 3,080.01 is: 4,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.53 : 12,016.13 = 3,080.01 : x
  2. Step 2: Convert to fraction form
    8,014.53/12,016.13 = 3,080.01/x
  3. Step 3: Cross multiply
    8,014.53x = 12,016.13 × 3,080.01
  4. Step 4: Simplify right side
    8,014.53x = 37,009,785.16
  5. Step 5: Solve for x
    x = 37,009,785.16/8,014.53
  6. Step 6: Final answer
    x = 4,617.84

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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.