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Finding the Fourth Proportional to 7,409.53, 10,225.17 and 4,222.69

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Solution

The fourth proportional to 7,409.53, 10,225.17 and 4,222.69 is: 5,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.53 : 10,225.17 = 4,222.69 : x
  2. Step 2: Convert to fraction form
    7,409.53/10,225.17 = 4,222.69/x
  3. Step 3: Cross multiply
    7,409.53x = 10,225.17 × 4,222.69
  4. Step 4: Simplify right side
    7,409.53x = 43,177,723.11
  5. Step 5: Solve for x
    x = 43,177,723.11/7,409.53
  6. Step 6: Final answer
    x = 5,827.32

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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.