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Finding the Fourth Proportional to 7,060.58, 9,743.82 and 3,917.06

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Solution

The fourth proportional to 7,060.58, 9,743.82 and 3,917.06 is: 5,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.58 : 9,743.82 = 3,917.06 : x
  2. Step 2: Convert to fraction form
    7,060.58/9,743.82 = 3,917.06/x
  3. Step 3: Cross multiply
    7,060.58x = 9,743.82 × 3,917.06
  4. Step 4: Simplify right side
    7,060.58x = 38,167,127.57
  5. Step 5: Solve for x
    x = 38,167,127.57/7,060.58
  6. Step 6: Final answer
    x = 5,405.66

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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.