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Finding the Fourth Proportional to 7,053.86, 9,734.10 and 3,910.16

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Solution

The fourth proportional to 7,053.86, 9,734.10 and 3,910.16 is: 5,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.86 : 9,734.10 = 3,910.16 : x
  2. Step 2: Convert to fraction form
    7,053.86/9,734.10 = 3,910.16/x
  3. Step 3: Cross multiply
    7,053.86x = 9,734.10 × 3,910.16
  4. Step 4: Simplify right side
    7,053.86x = 38,061,888.46
  5. Step 5: Solve for x
    x = 38,061,888.46/7,053.86
  6. Step 6: Final answer
    x = 5,395.90

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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.