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Finding the Fourth Proportional to 7,921.48, 11,877 and 2,985.16

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Solution

The fourth proportional to 7,921.48, 11,877 and 2,985.16 is: 4,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.48 : 11,877 = 2,985.16 : x
  2. Step 2: Convert to fraction form
    7,921.48/11,877 = 2,985.16/x
  3. Step 3: Cross multiply
    7,921.48x = 11,877 × 2,985.16
  4. Step 4: Simplify right side
    7,921.48x = 35,454,745.32
  5. Step 5: Solve for x
    x = 35,454,745.32/7,921.48
  6. Step 6: Final answer
    x = 4,475.77

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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.