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Finding the Fourth Proportional to 8,001.14, 12,001.70 and 2,158.00

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Solution

The fourth proportional to 8,001.14, 12,001.70 and 2,158.00 is: 3,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.14 : 12,001.70 = 2,158.00 : x
  2. Step 2: Convert to fraction form
    8,001.14/12,001.70 = 2,158.00/x
  3. Step 3: Cross multiply
    8,001.14x = 12,001.70 × 2,158.00
  4. Step 4: Simplify right side
    8,001.14x = 25,899,643.99
  5. Step 5: Solve for x
    x = 25,899,643.99/8,001.14
  6. Step 6: Final answer
    x = 3,237.00

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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.