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Finding the Fourth Proportional to 10,046.77, 13,823.80 and 8,247.63

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Solution

The fourth proportional to 10,046.77, 13,823.80 and 8,247.63 is: 11,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.77 : 13,823.80 = 8,247.63 : x
  2. Step 2: Convert to fraction form
    10,046.77/13,823.80 = 8,247.63/x
  3. Step 3: Cross multiply
    10,046.77x = 13,823.80 × 8,247.63
  4. Step 4: Simplify right side
    10,046.77x = 114,013,618.81
  5. Step 5: Solve for x
    x = 114,013,618.81/10,046.77
  6. Step 6: Final answer
    x = 11,348.28

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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.