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Finding the Fourth Proportional to 7,189.39, 10,783.16 and 5,343.20

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Solution

The fourth proportional to 7,189.39, 10,783.16 and 5,343.20 is: 8,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.39 : 10,783.16 = 5,343.20 : x
  2. Step 2: Convert to fraction form
    7,189.39/10,783.16 = 5,343.20/x
  3. Step 3: Cross multiply
    7,189.39x = 10,783.16 × 5,343.20
  4. Step 4: Simplify right side
    7,189.39x = 57,616,539.95
  5. Step 5: Solve for x
    x = 57,616,539.95/7,189.39
  6. Step 6: Final answer
    x = 8,014.11

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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.