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Finding the Fourth Proportional to 7,608, 10,499.18 and 4,464.12

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Solution

The fourth proportional to 7,608, 10,499.18 and 4,464.12 is: 6,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608 : 10,499.18 = 4,464.12 : x
  2. Step 2: Convert to fraction form
    7,608/10,499.18 = 4,464.12/x
  3. Step 3: Cross multiply
    7,608x = 10,499.18 × 4,464.12
  4. Step 4: Simplify right side
    7,608x = 46,869,577.10
  5. Step 5: Solve for x
    x = 46,869,577.10/7,608
  6. Step 6: Final answer
    x = 6,160.56

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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.