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Finding the Fourth Proportional to 7,583.40, 10,465.20 and 4,226.40

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Solution

The fourth proportional to 7,583.40, 10,465.20 and 4,226.40 is: 5,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.40 : 10,465.20 = 4,226.40 : x
  2. Step 2: Convert to fraction form
    7,583.40/10,465.20 = 4,226.40/x
  3. Step 3: Cross multiply
    7,583.40x = 10,465.20 × 4,226.40
  4. Step 4: Simplify right side
    7,583.40x = 44,230,121.28
  5. Step 5: Solve for x
    x = 44,230,121.28/7,583.40
  6. Step 6: Final answer
    x = 5,832.49

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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.