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Finding the Fourth Proportional to 7,940.30, 11,897.64 and 4,656.15

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Solution

The fourth proportional to 7,940.30, 11,897.64 and 4,656.15 is: 6,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.30 : 11,897.64 = 4,656.15 : x
  2. Step 2: Convert to fraction form
    7,940.30/11,897.64 = 4,656.15/x
  3. Step 3: Cross multiply
    7,940.30x = 11,897.64 × 4,656.15
  4. Step 4: Simplify right side
    7,940.30x = 55,397,196.49
  5. Step 5: Solve for x
    x = 55,397,196.49/7,940.30
  6. Step 6: Final answer
    x = 6,976.72

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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.