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Finding the Fourth Proportional to 10,609.13, 15,914.01 and 5,063.06

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Solution

The fourth proportional to 10,609.13, 15,914.01 and 5,063.06 is: 7,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.13 : 15,914.01 = 5,063.06 : x
  2. Step 2: Convert to fraction form
    10,609.13/15,914.01 = 5,063.06/x
  3. Step 3: Cross multiply
    10,609.13x = 15,914.01 × 5,063.06
  4. Step 4: Simplify right side
    10,609.13x = 80,573,587.47
  5. Step 5: Solve for x
    x = 80,573,587.47/10,609.13
  6. Step 6: Final answer
    x = 7,594.74

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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.