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Finding the Fourth Proportional to 11,488.37, 15,852.78 and 7,013.22

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Solution

The fourth proportional to 11,488.37, 15,852.78 and 7,013.22 is: 9,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.37 : 15,852.78 = 7,013.22 : x
  2. Step 2: Convert to fraction form
    11,488.37/15,852.78 = 7,013.22/x
  3. Step 3: Cross multiply
    11,488.37x = 15,852.78 × 7,013.22
  4. Step 4: Simplify right side
    11,488.37x = 111,179,033.75
  5. Step 5: Solve for x
    x = 111,179,033.75/11,488.37
  6. Step 6: Final answer
    x = 9,677.53

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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.