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Finding the Fourth Proportional to 11,819.16, 17,706.60 and 10,602

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Solution

The fourth proportional to 11,819.16, 17,706.60 and 10,602 is: 15,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.16 : 17,706.60 = 10,602 : x
  2. Step 2: Convert to fraction form
    11,819.16/17,706.60 = 10,602/x
  3. Step 3: Cross multiply
    11,819.16x = 17,706.60 × 10,602
  4. Step 4: Simplify right side
    11,819.16x = 187,725,373.20
  5. Step 5: Solve for x
    x = 187,725,373.20/11,819.16
  6. Step 6: Final answer
    x = 15,883.14

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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.