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Finding the Fourth Proportional to 7,157.66, 9,877.57 and 4,172.92

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Solution

The fourth proportional to 7,157.66, 9,877.57 and 4,172.92 is: 5,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.66 : 9,877.57 = 4,172.92 : x
  2. Step 2: Convert to fraction form
    7,157.66/9,877.57 = 4,172.92/x
  3. Step 3: Cross multiply
    7,157.66x = 9,877.57 × 4,172.92
  4. Step 4: Simplify right side
    7,157.66x = 41,218,274.28
  5. Step 5: Solve for x
    x = 41,218,274.28/7,157.66
  6. Step 6: Final answer
    x = 5,758.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.