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Finding the Fourth Proportional to 10,046.33, 13,864.76 and 5,571.48

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Solution

The fourth proportional to 10,046.33, 13,864.76 and 5,571.48 is: 7,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.33 : 13,864.76 = 5,571.48 : x
  2. Step 2: Convert to fraction form
    10,046.33/13,864.76 = 5,571.48/x
  3. Step 3: Cross multiply
    10,046.33x = 13,864.76 × 5,571.48
  4. Step 4: Simplify right side
    10,046.33x = 77,247,205.19
  5. Step 5: Solve for x
    x = 77,247,205.19/10,046.33
  6. Step 6: Final answer
    x = 7,689.10

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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.