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Finding the Fourth Proportional to 10,914.66, 16,363.35 and 4,342.50

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Solution

The fourth proportional to 10,914.66, 16,363.35 and 4,342.50 is: 6,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.66 : 16,363.35 = 4,342.50 : x
  2. Step 2: Convert to fraction form
    10,914.66/16,363.35 = 4,342.50/x
  3. Step 3: Cross multiply
    10,914.66x = 16,363.35 × 4,342.50
  4. Step 4: Simplify right side
    10,914.66x = 71,057,847.38
  5. Step 5: Solve for x
    x = 71,057,847.38/10,914.66
  6. Step 6: Final answer
    x = 6,510.31

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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.