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Finding the Fourth Proportional to 7,601.60, 11,402.07 and 2,336.40

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Solution

The fourth proportional to 7,601.60, 11,402.07 and 2,336.40 is: 3,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.60 : 11,402.07 = 2,336.40 : x
  2. Step 2: Convert to fraction form
    7,601.60/11,402.07 = 2,336.40/x
  3. Step 3: Cross multiply
    7,601.60x = 11,402.07 × 2,336.40
  4. Step 4: Simplify right side
    7,601.60x = 26,639,787.59
  5. Step 5: Solve for x
    x = 26,639,787.59/7,601.60
  6. Step 6: Final answer
    x = 3,504.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.