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Finding the Fourth Proportional to 10,164.64, 15,239.67 and 4,615.21

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Solution

The fourth proportional to 10,164.64, 15,239.67 and 4,615.21 is: 6,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.64 : 15,239.67 = 4,615.21 : x
  2. Step 2: Convert to fraction form
    10,164.64/15,239.67 = 4,615.21/x
  3. Step 3: Cross multiply
    10,164.64x = 15,239.67 × 4,615.21
  4. Step 4: Simplify right side
    10,164.64x = 70,334,277.38
  5. Step 5: Solve for x
    x = 70,334,277.38/10,164.64
  6. Step 6: Final answer
    x = 6,919.51

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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.