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Finding the Fourth Proportional to 7,796.08, 11,710.32 and 6,393.16

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Solution

The fourth proportional to 7,796.08, 11,710.32 and 6,393.16 is: 9,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.08 : 11,710.32 = 6,393.16 : x
  2. Step 2: Convert to fraction form
    7,796.08/11,710.32 = 6,393.16/x
  3. Step 3: Cross multiply
    7,796.08x = 11,710.32 × 6,393.16
  4. Step 4: Simplify right side
    7,796.08x = 74,865,949.41
  5. Step 5: Solve for x
    x = 74,865,949.41/7,796.08
  6. Step 6: Final answer
    x = 9,603.02

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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.