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Finding the Fourth Proportional to 13,162.46, 19,743.78 and 5,265.64

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Solution

The fourth proportional to 13,162.46, 19,743.78 and 5,265.64 is: 7,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.46 : 19,743.78 = 5,265.64 : x
  2. Step 2: Convert to fraction form
    13,162.46/19,743.78 = 5,265.64/x
  3. Step 3: Cross multiply
    13,162.46x = 19,743.78 × 5,265.64
  4. Step 4: Simplify right side
    13,162.46x = 103,963,637.72
  5. Step 5: Solve for x
    x = 103,963,637.72/13,162.46
  6. Step 6: Final answer
    x = 7,898.50

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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.