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Finding the Fourth Proportional to 7,078.59, 10,616.94 and 4,446.36

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Solution

The fourth proportional to 7,078.59, 10,616.94 and 4,446.36 is: 6,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.59 : 10,616.94 = 4,446.36 : x
  2. Step 2: Convert to fraction form
    7,078.59/10,616.94 = 4,446.36/x
  3. Step 3: Cross multiply
    7,078.59x = 10,616.94 × 4,446.36
  4. Step 4: Simplify right side
    7,078.59x = 47,206,737.34
  5. Step 5: Solve for x
    x = 47,206,737.34/7,078.59
  6. Step 6: Final answer
    x = 6,668.95

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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.