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Finding the Fourth Proportional to 10,534.16, 15,801.23 and 3,138.42

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Solution

The fourth proportional to 10,534.16, 15,801.23 and 3,138.42 is: 4,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.16 : 15,801.23 = 3,138.42 : x
  2. Step 2: Convert to fraction form
    10,534.16/15,801.23 = 3,138.42/x
  3. Step 3: Cross multiply
    10,534.16x = 15,801.23 × 3,138.42
  4. Step 4: Simplify right side
    10,534.16x = 49,590,896.26
  5. Step 5: Solve for x
    x = 49,590,896.26/10,534.16
  6. Step 6: Final answer
    x = 4,707.63

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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.