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Finding the Fourth Proportional to 8,233.02, 11,359.98 and 4,696.14

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Solution

The fourth proportional to 8,233.02, 11,359.98 and 4,696.14 is: 6,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.02 : 11,359.98 = 4,696.14 : x
  2. Step 2: Convert to fraction form
    8,233.02/11,359.98 = 4,696.14/x
  3. Step 3: Cross multiply
    8,233.02x = 11,359.98 × 4,696.14
  4. Step 4: Simplify right side
    8,233.02x = 53,348,056.48
  5. Step 5: Solve for x
    x = 53,348,056.48/8,233.02
  6. Step 6: Final answer
    x = 6,479.77

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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.