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Finding the Fourth Proportional to 7,222.51, 10,824.90 and 4,105.13

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Solution

The fourth proportional to 7,222.51, 10,824.90 and 4,105.13 is: 6,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.51 : 10,824.90 = 4,105.13 : x
  2. Step 2: Convert to fraction form
    7,222.51/10,824.90 = 4,105.13/x
  3. Step 3: Cross multiply
    7,222.51x = 10,824.90 × 4,105.13
  4. Step 4: Simplify right side
    7,222.51x = 44,437,567.61
  5. Step 5: Solve for x
    x = 44,437,567.61/7,222.51
  6. Step 6: Final answer
    x = 6,152.65

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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.