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Finding the Fourth Proportional to 10,452.82, 15,686.59 and 4,906.35

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Solution

The fourth proportional to 10,452.82, 15,686.59 and 4,906.35 is: 7,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.82 : 15,686.59 = 4,906.35 : x
  2. Step 2: Convert to fraction form
    10,452.82/15,686.59 = 4,906.35/x
  3. Step 3: Cross multiply
    10,452.82x = 15,686.59 × 4,906.35
  4. Step 4: Simplify right side
    10,452.82x = 76,963,900.85
  5. Step 5: Solve for x
    x = 76,963,900.85/10,452.82
  6. Step 6: Final answer
    x = 7,362.98

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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.