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Finding the Fourth Proportional to 7,352.65, 10,151.94 and 4,523.82

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Solution

The fourth proportional to 7,352.65, 10,151.94 and 4,523.82 is: 6,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.65 : 10,151.94 = 4,523.82 : x
  2. Step 2: Convert to fraction form
    7,352.65/10,151.94 = 4,523.82/x
  3. Step 3: Cross multiply
    7,352.65x = 10,151.94 × 4,523.82
  4. Step 4: Simplify right side
    7,352.65x = 45,925,549.21
  5. Step 5: Solve for x
    x = 45,925,549.21/7,352.65
  6. Step 6: Final answer
    x = 6,246.12

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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.