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Finding the Fourth Proportional to 11,125.64, 16,671.18 and 7,013

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Solution

The fourth proportional to 11,125.64, 16,671.18 and 7,013 is: 10,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125.64 : 16,671.18 = 7,013 : x
  2. Step 2: Convert to fraction form
    11,125.64/16,671.18 = 7,013/x
  3. Step 3: Cross multiply
    11,125.64x = 16,671.18 × 7,013
  4. Step 4: Simplify right side
    11,125.64x = 116,914,985.34
  5. Step 5: Solve for x
    x = 116,914,985.34/11,125.64
  6. Step 6: Final answer
    x = 10,508.61

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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.