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Finding the Fourth Proportional to 8,448.46, 11,659.41 and 4,864.63

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Solution

The fourth proportional to 8,448.46, 11,659.41 and 4,864.63 is: 6,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.46 : 11,659.41 = 4,864.63 : x
  2. Step 2: Convert to fraction form
    8,448.46/11,659.41 = 4,864.63/x
  3. Step 3: Cross multiply
    8,448.46x = 11,659.41 × 4,864.63
  4. Step 4: Simplify right side
    8,448.46x = 56,718,715.67
  5. Step 5: Solve for x
    x = 56,718,715.67/8,448.46
  6. Step 6: Final answer
    x = 6,713.50

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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.