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Finding the Fourth Proportional to 11,228.66, 15,482.90 and 7,190.20

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Solution

The fourth proportional to 11,228.66, 15,482.90 and 7,190.20 is: 9,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.66 : 15,482.90 = 7,190.20 : x
  2. Step 2: Convert to fraction form
    11,228.66/15,482.90 = 7,190.20/x
  3. Step 3: Cross multiply
    11,228.66x = 15,482.90 × 7,190.20
  4. Step 4: Simplify right side
    11,228.66x = 111,325,147.58
  5. Step 5: Solve for x
    x = 111,325,147.58/11,228.66
  6. Step 6: Final answer
    x = 9,914.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.