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Finding the Fourth Proportional to 7,157.19, 9,876.92 and 4,013.38

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Solution

The fourth proportional to 7,157.19, 9,876.92 and 4,013.38 is: 5,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.19 : 9,876.92 = 4,013.38 : x
  2. Step 2: Convert to fraction form
    7,157.19/9,876.92 = 4,013.38/x
  3. Step 3: Cross multiply
    7,157.19x = 9,876.92 × 4,013.38
  4. Step 4: Simplify right side
    7,157.19x = 39,639,783.81
  5. Step 5: Solve for x
    x = 39,639,783.81/7,157.19
  6. Step 6: Final answer
    x = 5,538.46

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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.