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Finding the Fourth Proportional to 7,523.95, 10,382.19 and 4,165.91

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Solution

The fourth proportional to 7,523.95, 10,382.19 and 4,165.91 is: 5,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.95 : 10,382.19 = 4,165.91 : x
  2. Step 2: Convert to fraction form
    7,523.95/10,382.19 = 4,165.91/x
  3. Step 3: Cross multiply
    7,523.95x = 10,382.19 × 4,165.91
  4. Step 4: Simplify right side
    7,523.95x = 43,251,322.38
  5. Step 5: Solve for x
    x = 43,251,322.38/7,523.95
  6. Step 6: Final answer
    x = 5,748.49

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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.