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Finding the Fourth Proportional to 10,807.72, 16,204.59 and 4,234.57

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Solution

The fourth proportional to 10,807.72, 16,204.59 and 4,234.57 is: 6,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.72 : 16,204.59 = 4,234.57 : x
  2. Step 2: Convert to fraction form
    10,807.72/16,204.59 = 4,234.57/x
  3. Step 3: Cross multiply
    10,807.72x = 16,204.59 × 4,234.57
  4. Step 4: Simplify right side
    10,807.72x = 68,619,430.16
  5. Step 5: Solve for x
    x = 68,619,430.16/10,807.72
  6. Step 6: Final answer
    x = 6,349.11

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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.