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Finding the Fourth Proportional to 7,506.63, 10,359.07 and 4,149.65

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Solution

The fourth proportional to 7,506.63, 10,359.07 and 4,149.65 is: 5,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.63 : 10,359.07 = 4,149.65 : x
  2. Step 2: Convert to fraction form
    7,506.63/10,359.07 = 4,149.65/x
  3. Step 3: Cross multiply
    7,506.63x = 10,359.07 × 4,149.65
  4. Step 4: Simplify right side
    7,506.63x = 42,986,530.35
  5. Step 5: Solve for x
    x = 42,986,530.35/7,506.63
  6. Step 6: Final answer
    x = 5,726.48

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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.