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Finding the Fourth Proportional to 10,542.40, 15,797.93 and 4,294.77

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Solution

The fourth proportional to 10,542.40, 15,797.93 and 4,294.77 is: 6,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.40 : 15,797.93 = 4,294.77 : x
  2. Step 2: Convert to fraction form
    10,542.40/15,797.93 = 4,294.77/x
  3. Step 3: Cross multiply
    10,542.40x = 15,797.93 × 4,294.77
  4. Step 4: Simplify right side
    10,542.40x = 67,848,486.56
  5. Step 5: Solve for x
    x = 67,848,486.56/10,542.40
  6. Step 6: Final answer
    x = 6,435.77

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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.