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Finding the Fourth Proportional to 7,383.92, 10,193.57 and 5,006.45

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Solution

The fourth proportional to 7,383.92, 10,193.57 and 5,006.45 is: 6,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.92 : 10,193.57 = 5,006.45 : x
  2. Step 2: Convert to fraction form
    7,383.92/10,193.57 = 5,006.45/x
  3. Step 3: Cross multiply
    7,383.92x = 10,193.57 × 5,006.45
  4. Step 4: Simplify right side
    7,383.92x = 51,033,522.53
  5. Step 5: Solve for x
    x = 51,033,522.53/7,383.92
  6. Step 6: Final answer
    x = 6,911.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.