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Finding the Fourth Proportional to 10,422.72, 15,630.08 and 4,184.32

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Solution

The fourth proportional to 10,422.72, 15,630.08 and 4,184.32 is: 6,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.72 : 15,630.08 = 4,184.32 : x
  2. Step 2: Convert to fraction form
    10,422.72/15,630.08 = 4,184.32/x
  3. Step 3: Cross multiply
    10,422.72x = 15,630.08 × 4,184.32
  4. Step 4: Simplify right side
    10,422.72x = 65,401,256.35
  5. Step 5: Solve for x
    x = 65,401,256.35/10,422.72
  6. Step 6: Final answer
    x = 6,274.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.