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Finding the Fourth Proportional to 11,084.50, 15,296.61 and 6,116.50

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Solution

The fourth proportional to 11,084.50, 15,296.61 and 6,116.50 is: 8,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.50 : 15,296.61 = 6,116.50 : x
  2. Step 2: Convert to fraction form
    11,084.50/15,296.61 = 6,116.50/x
  3. Step 3: Cross multiply
    11,084.50x = 15,296.61 × 6,116.50
  4. Step 4: Simplify right side
    11,084.50x = 93,561,715.07
  5. Step 5: Solve for x
    x = 93,561,715.07/11,084.50
  6. Step 6: Final answer
    x = 8,440.77

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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.