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Finding the Fourth Proportional to 10,133.58, 15,189.42 and 4,294.28

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Solution

The fourth proportional to 10,133.58, 15,189.42 and 4,294.28 is: 6,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.58 : 15,189.42 = 4,294.28 : x
  2. Step 2: Convert to fraction form
    10,133.58/15,189.42 = 4,294.28/x
  3. Step 3: Cross multiply
    10,133.58x = 15,189.42 × 4,294.28
  4. Step 4: Simplify right side
    10,133.58x = 65,227,622.52
  5. Step 5: Solve for x
    x = 65,227,622.52/10,133.58
  6. Step 6: Final answer
    x = 6,436.78

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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.