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Finding the Fourth Proportional to 7,147.95, 10,733.81 and 4,822.91

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Solution

The fourth proportional to 7,147.95, 10,733.81 and 4,822.91 is: 7,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.95 : 10,733.81 = 4,822.91 : x
  2. Step 2: Convert to fraction form
    7,147.95/10,733.81 = 4,822.91/x
  3. Step 3: Cross multiply
    7,147.95x = 10,733.81 × 4,822.91
  4. Step 4: Simplify right side
    7,147.95x = 51,768,202.31
  5. Step 5: Solve for x
    x = 51,768,202.31/7,147.95
  6. Step 6: Final answer
    x = 7,242.38

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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.