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Finding the Fourth Proportional to 7,756.04, 11,635.88 and 2,209.47

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Solution

The fourth proportional to 7,756.04, 11,635.88 and 2,209.47 is: 3,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.04 : 11,635.88 = 2,209.47 : x
  2. Step 2: Convert to fraction form
    7,756.04/11,635.88 = 2,209.47/x
  3. Step 3: Cross multiply
    7,756.04x = 11,635.88 × 2,209.47
  4. Step 4: Simplify right side
    7,756.04x = 25,709,127.78
  5. Step 5: Solve for x
    x = 25,709,127.78/7,756.04
  6. Step 6: Final answer
    x = 3,314.72

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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.