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Finding the Fourth Proportional to 7,156.90, 9,877.02 and 4,171.60

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Solution

The fourth proportional to 7,156.90, 9,877.02 and 4,171.60 is: 5,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.90 : 9,877.02 = 4,171.60 : x
  2. Step 2: Convert to fraction form
    7,156.90/9,877.02 = 4,171.60/x
  3. Step 3: Cross multiply
    7,156.90x = 9,877.02 × 4,171.60
  4. Step 4: Simplify right side
    7,156.90x = 41,202,976.63
  5. Step 5: Solve for x
    x = 41,202,976.63/7,156.90
  6. Step 6: Final answer
    x = 5,757.10

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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.