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Finding the Fourth Proportional to 10,486.56, 15,735.90 and 5,292.84

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Solution

The fourth proportional to 10,486.56, 15,735.90 and 5,292.84 is: 7,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.56 : 15,735.90 = 5,292.84 : x
  2. Step 2: Convert to fraction form
    10,486.56/15,735.90 = 5,292.84/x
  3. Step 3: Cross multiply
    10,486.56x = 15,735.90 × 5,292.84
  4. Step 4: Simplify right side
    10,486.56x = 83,287,600.96
  5. Step 5: Solve for x
    x = 83,287,600.96/10,486.56
  6. Step 6: Final answer
    x = 7,942.32

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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.