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Finding the Fourth Proportional to 8,695.84, 13,033.76 and 3,760.52

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Solution

The fourth proportional to 8,695.84, 13,033.76 and 3,760.52 is: 5,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.84 : 13,033.76 = 3,760.52 : x
  2. Step 2: Convert to fraction form
    8,695.84/13,033.76 = 3,760.52/x
  3. Step 3: Cross multiply
    8,695.84x = 13,033.76 × 3,760.52
  4. Step 4: Simplify right side
    8,695.84x = 49,013,715.16
  5. Step 5: Solve for x
    x = 49,013,715.16/8,695.84
  6. Step 6: Final answer
    x = 5,636.46

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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.