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Finding the Fourth Proportional to 11,712.84, 17,541.10 and 6,700.02

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Solution

The fourth proportional to 11,712.84, 17,541.10 and 6,700.02 is: 10,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.84 : 17,541.10 = 6,700.02 : x
  2. Step 2: Convert to fraction form
    11,712.84/17,541.10 = 6,700.02/x
  3. Step 3: Cross multiply
    11,712.84x = 17,541.10 × 6,700.02
  4. Step 4: Simplify right side
    11,712.84x = 117,525,644.57
  5. Step 5: Solve for x
    x = 117,525,644.57/11,712.84
  6. Step 6: Final answer
    x = 10,033.92

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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.