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Finding the Fourth Proportional to 8,921.16, 13,381.68 and 6,975

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Solution

The fourth proportional to 8,921.16, 13,381.68 and 6,975 is: 10,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.16 : 13,381.68 = 6,975 : x
  2. Step 2: Convert to fraction form
    8,921.16/13,381.68 = 6,975/x
  3. Step 3: Cross multiply
    8,921.16x = 13,381.68 × 6,975
  4. Step 4: Simplify right side
    8,921.16x = 93,337,218
  5. Step 5: Solve for x
    x = 93,337,218/8,921.16
  6. Step 6: Final answer
    x = 10,462.45

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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.