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Finding the Fourth Proportional to 10,636.76, 15,964.97 and 5,375.46

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Solution

The fourth proportional to 10,636.76, 15,964.97 and 5,375.46 is: 8,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.76 : 15,964.97 = 5,375.46 : x
  2. Step 2: Convert to fraction form
    10,636.76/15,964.97 = 5,375.46/x
  3. Step 3: Cross multiply
    10,636.76x = 15,964.97 × 5,375.46
  4. Step 4: Simplify right side
    10,636.76x = 85,819,030.76
  5. Step 5: Solve for x
    x = 85,819,030.76/10,636.76
  6. Step 6: Final answer
    x = 8,068.16

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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.