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Finding the Fourth Proportional to 10,394.91, 15,602.09 and 5,135.87

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Solution

The fourth proportional to 10,394.91, 15,602.09 and 5,135.87 is: 7,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.91 : 15,602.09 = 5,135.87 : x
  2. Step 2: Convert to fraction form
    10,394.91/15,602.09 = 5,135.87/x
  3. Step 3: Cross multiply
    10,394.91x = 15,602.09 × 5,135.87
  4. Step 4: Simplify right side
    10,394.91x = 80,130,202.28
  5. Step 5: Solve for x
    x = 80,130,202.28/10,394.91
  6. Step 6: Final answer
    x = 7,708.60

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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.