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Finding the Fourth Proportional to 7,756.20, 11,609.34 and 5,419.08

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Solution

The fourth proportional to 7,756.20, 11,609.34 and 5,419.08 is: 8,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.20 : 11,609.34 = 5,419.08 : x
  2. Step 2: Convert to fraction form
    7,756.20/11,609.34 = 5,419.08/x
  3. Step 3: Cross multiply
    7,756.20x = 11,609.34 × 5,419.08
  4. Step 4: Simplify right side
    7,756.20x = 62,911,942.21
  5. Step 5: Solve for x
    x = 62,911,942.21/7,756.20
  6. Step 6: Final answer
    x = 8,111.18

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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.