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Finding the Fourth Proportional to 8,039.93, 12,045.29 and 7,864.97

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Solution

The fourth proportional to 8,039.93, 12,045.29 and 7,864.97 is: 11,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.93 : 12,045.29 = 7,864.97 : x
  2. Step 2: Convert to fraction form
    8,039.93/12,045.29 = 7,864.97/x
  3. Step 3: Cross multiply
    8,039.93x = 12,045.29 × 7,864.97
  4. Step 4: Simplify right side
    8,039.93x = 94,735,744.94
  5. Step 5: Solve for x
    x = 94,735,744.94/8,039.93
  6. Step 6: Final answer
    x = 11,783.16

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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.