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Finding the Fourth Proportional to 7,583.76, 10,465.20 and 5,226.12

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Solution

The fourth proportional to 7,583.76, 10,465.20 and 5,226.12 is: 7,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.76 : 10,465.20 = 5,226.12 : x
  2. Step 2: Convert to fraction form
    7,583.76/10,465.20 = 5,226.12/x
  3. Step 3: Cross multiply
    7,583.76x = 10,465.20 × 5,226.12
  4. Step 4: Simplify right side
    7,583.76x = 54,692,391.02
  5. Step 5: Solve for x
    x = 54,692,391.02/7,583.76
  6. Step 6: Final answer
    x = 7,211.78

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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.