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Finding the Fourth Proportional to 10,071.84, 15,100.32 and 5,391.68

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Solution

The fourth proportional to 10,071.84, 15,100.32 and 5,391.68 is: 8,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.84 : 15,100.32 = 5,391.68 : x
  2. Step 2: Convert to fraction form
    10,071.84/15,100.32 = 5,391.68/x
  3. Step 3: Cross multiply
    10,071.84x = 15,100.32 × 5,391.68
  4. Step 4: Simplify right side
    10,071.84x = 81,416,093.34
  5. Step 5: Solve for x
    x = 81,416,093.34/10,071.84
  6. Step 6: Final answer
    x = 8,083.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.