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Finding the Fourth Proportional to 7,107.69, 10,648.77 and 4,184.40

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Solution

The fourth proportional to 7,107.69, 10,648.77 and 4,184.40 is: 6,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.69 : 10,648.77 = 4,184.40 : x
  2. Step 2: Convert to fraction form
    7,107.69/10,648.77 = 4,184.40/x
  3. Step 3: Cross multiply
    7,107.69x = 10,648.77 × 4,184.40
  4. Step 4: Simplify right side
    7,107.69x = 44,558,713.19
  5. Step 5: Solve for x
    x = 44,558,713.19/7,107.69
  6. Step 6: Final answer
    x = 6,269.09

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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.