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Finding the Fourth Proportional to 7,486.38, 10,329.63 and 4,300.65

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Solution

The fourth proportional to 7,486.38, 10,329.63 and 4,300.65 is: 5,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.38 : 10,329.63 = 4,300.65 : x
  2. Step 2: Convert to fraction form
    7,486.38/10,329.63 = 4,300.65/x
  3. Step 3: Cross multiply
    7,486.38x = 10,329.63 × 4,300.65
  4. Step 4: Simplify right side
    7,486.38x = 44,424,123.26
  5. Step 5: Solve for x
    x = 44,424,123.26/7,486.38
  6. Step 6: Final answer
    x = 5,933.99

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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.