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Finding the Fourth Proportional to 10,366.77, 15,546.74 and 4,128.33

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Solution

The fourth proportional to 10,366.77, 15,546.74 and 4,128.33 is: 6,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.77 : 15,546.74 = 4,128.33 : x
  2. Step 2: Convert to fraction form
    10,366.77/15,546.74 = 4,128.33/x
  3. Step 3: Cross multiply
    10,366.77x = 15,546.74 × 4,128.33
  4. Step 4: Simplify right side
    10,366.77x = 64,182,052.50
  5. Step 5: Solve for x
    x = 64,182,052.50/10,366.77
  6. Step 6: Final answer
    x = 6,191.13

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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.