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Finding the Fourth Proportional to 7,407.98, 10,222.71 and 4,050.77

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Solution

The fourth proportional to 7,407.98, 10,222.71 and 4,050.77 is: 5,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.98 : 10,222.71 = 4,050.77 : x
  2. Step 2: Convert to fraction form
    7,407.98/10,222.71 = 4,050.77/x
  3. Step 3: Cross multiply
    7,407.98x = 10,222.71 × 4,050.77
  4. Step 4: Simplify right side
    7,407.98x = 41,409,795.87
  5. Step 5: Solve for x
    x = 41,409,795.87/7,407.98
  6. Step 6: Final answer
    x = 5,589.89

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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.