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Finding the Fourth Proportional to 8,097.23, 12,145.84 and 4,632.05

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Solution

The fourth proportional to 8,097.23, 12,145.84 and 4,632.05 is: 6,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.23 : 12,145.84 = 4,632.05 : x
  2. Step 2: Convert to fraction form
    8,097.23/12,145.84 = 4,632.05/x
  3. Step 3: Cross multiply
    8,097.23x = 12,145.84 × 4,632.05
  4. Step 4: Simplify right side
    8,097.23x = 56,260,101.66
  5. Step 5: Solve for x
    x = 56,260,101.66/8,097.23
  6. Step 6: Final answer
    x = 6,948.07

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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.