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Finding the Fourth Proportional to 6,966.72, 10,455.16 and 5,328

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Solution

The fourth proportional to 6,966.72, 10,455.16 and 5,328 is: 7,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.72 : 10,455.16 = 5,328 : x
  2. Step 2: Convert to fraction form
    6,966.72/10,455.16 = 5,328/x
  3. Step 3: Cross multiply
    6,966.72x = 10,455.16 × 5,328
  4. Step 4: Simplify right side
    6,966.72x = 55,705,092.48
  5. Step 5: Solve for x
    x = 55,705,092.48/6,966.72
  6. Step 6: Final answer
    x = 7,995.89

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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.