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Finding the Fourth Proportional to 10,734.72, 14,814.54 and 8,077.38

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Solution

The fourth proportional to 10,734.72, 14,814.54 and 8,077.38 is: 11,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.72 : 14,814.54 = 8,077.38 : x
  2. Step 2: Convert to fraction form
    10,734.72/14,814.54 = 8,077.38/x
  3. Step 3: Cross multiply
    10,734.72x = 14,814.54 × 8,077.38
  4. Step 4: Simplify right side
    10,734.72x = 119,662,669.11
  5. Step 5: Solve for x
    x = 119,662,669.11/10,734.72
  6. Step 6: Final answer
    x = 11,147.26

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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.