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Finding the Fourth Proportional to 7,946.39, 10,964.86 and 4,758.95

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Solution

The fourth proportional to 7,946.39, 10,964.86 and 4,758.95 is: 6,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.39 : 10,964.86 = 4,758.95 : x
  2. Step 2: Convert to fraction form
    7,946.39/10,964.86 = 4,758.95/x
  3. Step 3: Cross multiply
    7,946.39x = 10,964.86 × 4,758.95
  4. Step 4: Simplify right side
    7,946.39x = 52,181,236.01
  5. Step 5: Solve for x
    x = 52,181,236.01/7,946.39
  6. Step 6: Final answer
    x = 6,566.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.