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Finding the Fourth Proportional to 10,488.42, 15,724.26 and 4,938.84

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Solution

The fourth proportional to 10,488.42, 15,724.26 and 4,938.84 is: 7,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.42 : 15,724.26 = 4,938.84 : x
  2. Step 2: Convert to fraction form
    10,488.42/15,724.26 = 4,938.84/x
  3. Step 3: Cross multiply
    10,488.42x = 15,724.26 × 4,938.84
  4. Step 4: Simplify right side
    10,488.42x = 77,659,604.26
  5. Step 5: Solve for x
    x = 77,659,604.26/10,488.42
  6. Step 6: Final answer
    x = 7,404.32

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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.