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Finding the Fourth Proportional to 8,216.53, 11,337.33 and 4,857.66

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Solution

The fourth proportional to 8,216.53, 11,337.33 and 4,857.66 is: 6,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.53 : 11,337.33 = 4,857.66 : x
  2. Step 2: Convert to fraction form
    8,216.53/11,337.33 = 4,857.66/x
  3. Step 3: Cross multiply
    8,216.53x = 11,337.33 × 4,857.66
  4. Step 4: Simplify right side
    8,216.53x = 55,072,894.45
  5. Step 5: Solve for x
    x = 55,072,894.45/8,216.53
  6. Step 6: Final answer
    x = 6,702.69

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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.