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Finding the Fourth Proportional to 6,876.52, 10,307.10 and 6,322.96

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Solution

The fourth proportional to 6,876.52, 10,307.10 and 6,322.96 is: 9,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.52 : 10,307.10 = 6,322.96 : x
  2. Step 2: Convert to fraction form
    6,876.52/10,307.10 = 6,322.96/x
  3. Step 3: Cross multiply
    6,876.52x = 10,307.10 × 6,322.96
  4. Step 4: Simplify right side
    6,876.52x = 65,171,381.02
  5. Step 5: Solve for x
    x = 65,171,381.02/6,876.52
  6. Step 6: Final answer
    x = 9,477.38

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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.