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Finding the Fourth Proportional to 10,084.31, 13,916.03 and 5,608.05

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Solution

The fourth proportional to 10,084.31, 13,916.03 and 5,608.05 is: 7,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.31 : 13,916.03 = 5,608.05 : x
  2. Step 2: Convert to fraction form
    10,084.31/13,916.03 = 5,608.05/x
  3. Step 3: Cross multiply
    10,084.31x = 13,916.03 × 5,608.05
  4. Step 4: Simplify right side
    10,084.31x = 78,041,792.04
  5. Step 5: Solve for x
    x = 78,041,792.04/10,084.31
  6. Step 6: Final answer
    x = 7,738.93

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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.