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Finding the Fourth Proportional to 7,157.26, 9,877.11 and 3,970.62

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Solution

The fourth proportional to 7,157.26, 9,877.11 and 3,970.62 is: 5,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.26 : 9,877.11 = 3,970.62 : x
  2. Step 2: Convert to fraction form
    7,157.26/9,877.11 = 3,970.62/x
  3. Step 3: Cross multiply
    7,157.26x = 9,877.11 × 3,970.62
  4. Step 4: Simplify right side
    7,157.26x = 39,218,235.62
  5. Step 5: Solve for x
    x = 39,218,235.62/7,157.26
  6. Step 6: Final answer
    x = 5,479.50

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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.