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Finding the Fourth Proportional to 7,409.76, 10,222.04 and 4,264.13

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Solution

The fourth proportional to 7,409.76, 10,222.04 and 4,264.13 is: 5,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.76 : 10,222.04 = 4,264.13 : x
  2. Step 2: Convert to fraction form
    7,409.76/10,222.04 = 4,264.13/x
  3. Step 3: Cross multiply
    7,409.76x = 10,222.04 × 4,264.13
  4. Step 4: Simplify right side
    7,409.76x = 43,588,107.43
  5. Step 5: Solve for x
    x = 43,588,107.43/7,409.76
  6. Step 6: Final answer
    x = 5,882.53

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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.