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Finding the Fourth Proportional to 7,157.22, 9,877.53 and 3,970.83

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Solution

The fourth proportional to 7,157.22, 9,877.53 and 3,970.83 is: 5,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.22 : 9,877.53 = 3,970.83 : x
  2. Step 2: Convert to fraction form
    7,157.22/9,877.53 = 3,970.83/x
  3. Step 3: Cross multiply
    7,157.22x = 9,877.53 × 3,970.83
  4. Step 4: Simplify right side
    7,157.22x = 39,221,992.45
  5. Step 5: Solve for x
    x = 39,221,992.45/7,157.22
  6. Step 6: Final answer
    x = 5,480.06

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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.