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Finding the Fourth Proportional to 7,216.40, 10,825.74 and 3,056.42

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Solution

The fourth proportional to 7,216.40, 10,825.74 and 3,056.42 is: 4,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.40 : 10,825.74 = 3,056.42 : x
  2. Step 2: Convert to fraction form
    7,216.40/10,825.74 = 3,056.42/x
  3. Step 3: Cross multiply
    7,216.40x = 10,825.74 × 3,056.42
  4. Step 4: Simplify right side
    7,216.40x = 33,088,035.32
  5. Step 5: Solve for x
    x = 33,088,035.32/7,216.40
  6. Step 6: Final answer
    x = 4,585.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.