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Finding the Fourth Proportional to 12,868.35, 17,760.38 and 7,564.47

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Solution

The fourth proportional to 12,868.35, 17,760.38 and 7,564.47 is: 10,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.35 : 17,760.38 = 7,564.47 : x
  2. Step 2: Convert to fraction form
    12,868.35/17,760.38 = 7,564.47/x
  3. Step 3: Cross multiply
    12,868.35x = 17,760.38 × 7,564.47
  4. Step 4: Simplify right side
    12,868.35x = 134,347,823.88
  5. Step 5: Solve for x
    x = 134,347,823.88/12,868.35
  6. Step 6: Final answer
    x = 10,440.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.