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Finding the Fourth Proportional to 7,157.48, 9,876.66 and 4,013

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Solution

The fourth proportional to 7,157.48, 9,876.66 and 4,013 is: 5,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.48 : 9,876.66 = 4,013 : x
  2. Step 2: Convert to fraction form
    7,157.48/9,876.66 = 4,013/x
  3. Step 3: Cross multiply
    7,157.48x = 9,876.66 × 4,013
  4. Step 4: Simplify right side
    7,157.48x = 39,635,036.58
  5. Step 5: Solve for x
    x = 39,635,036.58/7,157.48
  6. Step 6: Final answer
    x = 5,537.57

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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.