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Finding the Fourth Proportional to 11,552.69, 15,947.28 and 7,786.60

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Solution

The fourth proportional to 11,552.69, 15,947.28 and 7,786.60 is: 10,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.69 : 15,947.28 = 7,786.60 : x
  2. Step 2: Convert to fraction form
    11,552.69/15,947.28 = 7,786.60/x
  3. Step 3: Cross multiply
    11,552.69x = 15,947.28 × 7,786.60
  4. Step 4: Simplify right side
    11,552.69x = 124,175,050.58
  5. Step 5: Solve for x
    x = 124,175,050.58/11,552.69
  6. Step 6: Final answer
    x = 10,748.58

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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.