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Finding the Fourth Proportional to 7,796.80, 11,697.90 and 3,417.40

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Solution

The fourth proportional to 7,796.80, 11,697.90 and 3,417.40 is: 5,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.80 : 11,697.90 = 3,417.40 : x
  2. Step 2: Convert to fraction form
    7,796.80/11,697.90 = 3,417.40/x
  3. Step 3: Cross multiply
    7,796.80x = 11,697.90 × 3,417.40
  4. Step 4: Simplify right side
    7,796.80x = 39,976,403.46
  5. Step 5: Solve for x
    x = 39,976,403.46/7,796.80
  6. Step 6: Final answer
    x = 5,127.28

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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.