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Finding the Fourth Proportional to 7,768.52, 10,720.58 and 4,624.68

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Solution

The fourth proportional to 7,768.52, 10,720.58 and 4,624.68 is: 6,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.52 : 10,720.58 = 4,624.68 : x
  2. Step 2: Convert to fraction form
    7,768.52/10,720.58 = 4,624.68/x
  3. Step 3: Cross multiply
    7,768.52x = 10,720.58 × 4,624.68
  4. Step 4: Simplify right side
    7,768.52x = 49,579,251.91
  5. Step 5: Solve for x
    x = 49,579,251.91/7,768.52
  6. Step 6: Final answer
    x = 6,382.07

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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.