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Finding the Fourth Proportional to 7,944.66, 10,964.34 and 4,800.78

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Solution

The fourth proportional to 7,944.66, 10,964.34 and 4,800.78 is: 6,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.66 : 10,964.34 = 4,800.78 : x
  2. Step 2: Convert to fraction form
    7,944.66/10,964.34 = 4,800.78/x
  3. Step 3: Cross multiply
    7,944.66x = 10,964.34 × 4,800.78
  4. Step 4: Simplify right side
    7,944.66x = 52,637,384.19
  5. Step 5: Solve for x
    x = 52,637,384.19/7,944.66
  6. Step 6: Final answer
    x = 6,625.50

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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.