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Finding the Fourth Proportional to 7,899.86, 11,856.62 and 3,222.45

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Solution

The fourth proportional to 7,899.86, 11,856.62 and 3,222.45 is: 4,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.86 : 11,856.62 = 3,222.45 : x
  2. Step 2: Convert to fraction form
    7,899.86/11,856.62 = 3,222.45/x
  3. Step 3: Cross multiply
    7,899.86x = 11,856.62 × 3,222.45
  4. Step 4: Simplify right side
    7,899.86x = 38,207,349.01
  5. Step 5: Solve for x
    x = 38,207,349.01/7,899.86
  6. Step 6: Final answer
    x = 4,836.46

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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.