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Finding the Fourth Proportional to 10,834, 14,953.23 and 7,435.66

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Solution

The fourth proportional to 10,834, 14,953.23 and 7,435.66 is: 10,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834 : 14,953.23 = 7,435.66 : x
  2. Step 2: Convert to fraction form
    10,834/14,953.23 = 7,435.66/x
  3. Step 3: Cross multiply
    10,834x = 14,953.23 × 7,435.66
  4. Step 4: Simplify right side
    10,834x = 111,187,134.18
  5. Step 5: Solve for x
    x = 111,187,134.18/10,834
  6. Step 6: Final answer
    x = 10,262.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.