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Finding the Fourth Proportional to 7,772.92, 10,729.74 and 4,628.50

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Solution

The fourth proportional to 7,772.92, 10,729.74 and 4,628.50 is: 6,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.92 : 10,729.74 = 4,628.50 : x
  2. Step 2: Convert to fraction form
    7,772.92/10,729.74 = 4,628.50/x
  3. Step 3: Cross multiply
    7,772.92x = 10,729.74 × 4,628.50
  4. Step 4: Simplify right side
    7,772.92x = 49,662,601.59
  5. Step 5: Solve for x
    x = 49,662,601.59/7,772.92
  6. Step 6: Final answer
    x = 6,389.18

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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.