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Finding the Fourth Proportional to 7,680.38, 10,595.05 and 4,491.59

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Solution

The fourth proportional to 7,680.38, 10,595.05 and 4,491.59 is: 6,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.38 : 10,595.05 = 4,491.59 : x
  2. Step 2: Convert to fraction form
    7,680.38/10,595.05 = 4,491.59/x
  3. Step 3: Cross multiply
    7,680.38x = 10,595.05 × 4,491.59
  4. Step 4: Simplify right side
    7,680.38x = 47,588,567.65
  5. Step 5: Solve for x
    x = 47,588,567.65/7,680.38
  6. Step 6: Final answer
    x = 6,196.12

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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.