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Finding the Fourth Proportional to 7,189.69, 10,765.32 and 4,225.66

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Solution

The fourth proportional to 7,189.69, 10,765.32 and 4,225.66 is: 6,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.69 : 10,765.32 = 4,225.66 : x
  2. Step 2: Convert to fraction form
    7,189.69/10,765.32 = 4,225.66/x
  3. Step 3: Cross multiply
    7,189.69x = 10,765.32 × 4,225.66
  4. Step 4: Simplify right side
    7,189.69x = 45,490,582.11
  5. Step 5: Solve for x
    x = 45,490,582.11/7,189.69
  6. Step 6: Final answer
    x = 6,327.20

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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.