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Finding the Fourth Proportional to 10,172.52, 15,268.65 and 4,911.25

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Solution

The fourth proportional to 10,172.52, 15,268.65 and 4,911.25 is: 7,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.52 : 15,268.65 = 4,911.25 : x
  2. Step 2: Convert to fraction form
    10,172.52/15,268.65 = 4,911.25/x
  3. Step 3: Cross multiply
    10,172.52x = 15,268.65 × 4,911.25
  4. Step 4: Simplify right side
    10,172.52x = 74,988,157.31
  5. Step 5: Solve for x
    x = 74,988,157.31/10,172.52
  6. Step 6: Final answer
    x = 7,371.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.