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Finding the Fourth Proportional to 10,363.94, 14,302.41 and 5,648.42

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Solution

The fourth proportional to 10,363.94, 14,302.41 and 5,648.42 is: 7,794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.94 : 14,302.41 = 5,648.42 : x
  2. Step 2: Convert to fraction form
    10,363.94/14,302.41 = 5,648.42/x
  3. Step 3: Cross multiply
    10,363.94x = 14,302.41 × 5,648.42
  4. Step 4: Simplify right side
    10,363.94x = 80,786,018.69
  5. Step 5: Solve for x
    x = 80,786,018.69/10,363.94
  6. Step 6: Final answer
    x = 7,794.91

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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.