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Finding the Fourth Proportional to 7,608.74, 10,503.47 and 4,465.13

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Solution

The fourth proportional to 7,608.74, 10,503.47 and 4,465.13 is: 6,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.74 : 10,503.47 = 4,465.13 : x
  2. Step 2: Convert to fraction form
    7,608.74/10,503.47 = 4,465.13/x
  3. Step 3: Cross multiply
    7,608.74x = 10,503.47 × 4,465.13
  4. Step 4: Simplify right side
    7,608.74x = 46,899,317.65
  5. Step 5: Solve for x
    x = 46,899,317.65/7,608.74
  6. Step 6: Final answer
    x = 6,163.88

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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.