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Finding the Fourth Proportional to 8,066.96, 12,097.32 and 2,800.40

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Solution

The fourth proportional to 8,066.96, 12,097.32 and 2,800.40 is: 4,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.96 : 12,097.32 = 2,800.40 : x
  2. Step 2: Convert to fraction form
    8,066.96/12,097.32 = 2,800.40/x
  3. Step 3: Cross multiply
    8,066.96x = 12,097.32 × 2,800.40
  4. Step 4: Simplify right side
    8,066.96x = 33,877,334.93
  5. Step 5: Solve for x
    x = 33,877,334.93/8,066.96
  6. Step 6: Final answer
    x = 4,199.52

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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.