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Finding the Fourth Proportional to 8,216.30, 11,337.71 and 4,859.06

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Solution

The fourth proportional to 8,216.30, 11,337.71 and 4,859.06 is: 6,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.30 : 11,337.71 = 4,859.06 : x
  2. Step 2: Convert to fraction form
    8,216.30/11,337.71 = 4,859.06/x
  3. Step 3: Cross multiply
    8,216.30x = 11,337.71 × 4,859.06
  4. Step 4: Simplify right side
    8,216.30x = 55,090,532.17
  5. Step 5: Solve for x
    x = 55,090,532.17/8,216.30
  6. Step 6: Final answer
    x = 6,705.03

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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.