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Finding the Fourth Proportional to 7,809.37, 10,777.35 and 4,624.54

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Solution

The fourth proportional to 7,809.37, 10,777.35 and 4,624.54 is: 6,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.37 : 10,777.35 = 4,624.54 : x
  2. Step 2: Convert to fraction form
    7,809.37/10,777.35 = 4,624.54/x
  3. Step 3: Cross multiply
    7,809.37x = 10,777.35 × 4,624.54
  4. Step 4: Simplify right side
    7,809.37x = 49,840,286.17
  5. Step 5: Solve for x
    x = 49,840,286.17/7,809.37
  6. Step 6: Final answer
    x = 6,382.11

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Why These Related Problems?

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