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Finding the Fourth Proportional to 7,472.87, 10,312.16 and 4,286.00

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Solution

The fourth proportional to 7,472.87, 10,312.16 and 4,286.00 is: 5,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.87 : 10,312.16 = 4,286.00 : x
  2. Step 2: Convert to fraction form
    7,472.87/10,312.16 = 4,286.00/x
  3. Step 3: Cross multiply
    7,472.87x = 10,312.16 × 4,286.00
  4. Step 4: Simplify right side
    7,472.87x = 44,197,844.77
  5. Step 5: Solve for x
    x = 44,197,844.77/7,472.87
  6. Step 6: Final answer
    x = 5,914.44

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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.