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Finding the Fourth Proportional to 7,465.62, 10,297.29 and 5,074.19

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Solution

The fourth proportional to 7,465.62, 10,297.29 and 5,074.19 is: 6,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.62 : 10,297.29 = 5,074.19 : x
  2. Step 2: Convert to fraction form
    7,465.62/10,297.29 = 5,074.19/x
  3. Step 3: Cross multiply
    7,465.62x = 10,297.29 × 5,074.19
  4. Step 4: Simplify right side
    7,465.62x = 52,250,405.95
  5. Step 5: Solve for x
    x = 52,250,405.95/7,465.62
  6. Step 6: Final answer
    x = 6,998.80

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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.