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Finding the Fourth Proportional to 8,390.96, 11,581.68 and 4,856.22

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Solution

The fourth proportional to 8,390.96, 11,581.68 and 4,856.22 is: 6,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.96 : 11,581.68 = 4,856.22 : x
  2. Step 2: Convert to fraction form
    8,390.96/11,581.68 = 4,856.22/x
  3. Step 3: Cross multiply
    8,390.96x = 11,581.68 × 4,856.22
  4. Step 4: Simplify right side
    8,390.96x = 56,243,186.05
  5. Step 5: Solve for x
    x = 56,243,186.05/8,390.96
  6. Step 6: Final answer
    x = 6,702.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.