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Finding the Fourth Proportional to 7,864.68, 11,790.54 and 4,164.68

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Solution

The fourth proportional to 7,864.68, 11,790.54 and 4,164.68 is: 6,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.68 : 11,790.54 = 4,164.68 : x
  2. Step 2: Convert to fraction form
    7,864.68/11,790.54 = 4,164.68/x
  3. Step 3: Cross multiply
    7,864.68x = 11,790.54 × 4,164.68
  4. Step 4: Simplify right side
    7,864.68x = 49,103,826.13
  5. Step 5: Solve for x
    x = 49,103,826.13/7,864.68
  6. Step 6: Final answer
    x = 6,243.59

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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.