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Finding the Fourth Proportional to 8,298.94, 11,446.20 and 5,641.86

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Solution

The fourth proportional to 8,298.94, 11,446.20 and 5,641.86 is: 7,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.94 : 11,446.20 = 5,641.86 : x
  2. Step 2: Convert to fraction form
    8,298.94/11,446.20 = 5,641.86/x
  3. Step 3: Cross multiply
    8,298.94x = 11,446.20 × 5,641.86
  4. Step 4: Simplify right side
    8,298.94x = 64,577,857.93
  5. Step 5: Solve for x
    x = 64,577,857.93/8,298.94
  6. Step 6: Final answer
    x = 7,781.46

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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.