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Finding the Fourth Proportional to 7,189.98, 10,781.16 and 2,258.28

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Solution

The fourth proportional to 7,189.98, 10,781.16 and 2,258.28 is: 3,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.98 : 10,781.16 = 2,258.28 : x
  2. Step 2: Convert to fraction form
    7,189.98/10,781.16 = 2,258.28/x
  3. Step 3: Cross multiply
    7,189.98x = 10,781.16 × 2,258.28
  4. Step 4: Simplify right side
    7,189.98x = 24,346,878.00
  5. Step 5: Solve for x
    x = 24,346,878.00/7,189.98
  6. Step 6: Final answer
    x = 3,386.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.