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Finding the Fourth Proportional to 10,105.69, 13,952.24 and 7,448.47

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Solution

The fourth proportional to 10,105.69, 13,952.24 and 7,448.47 is: 10,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.69 : 13,952.24 = 7,448.47 : x
  2. Step 2: Convert to fraction form
    10,105.69/13,952.24 = 7,448.47/x
  3. Step 3: Cross multiply
    10,105.69x = 13,952.24 × 7,448.47
  4. Step 4: Simplify right side
    10,105.69x = 103,922,803.83
  5. Step 5: Solve for x
    x = 103,922,803.83/10,105.69
  6. Step 6: Final answer
    x = 10,283.59

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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.