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Finding the Fourth Proportional to 8,166.14, 12,254.66 and 2,972.01

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Solution

The fourth proportional to 8,166.14, 12,254.66 and 2,972.01 is: 4,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.14 : 12,254.66 = 2,972.01 : x
  2. Step 2: Convert to fraction form
    8,166.14/12,254.66 = 2,972.01/x
  3. Step 3: Cross multiply
    8,166.14x = 12,254.66 × 2,972.01
  4. Step 4: Simplify right side
    8,166.14x = 36,420,972.07
  5. Step 5: Solve for x
    x = 36,420,972.07/8,166.14
  6. Step 6: Final answer
    x = 4,460.00

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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.