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Finding the Fourth Proportional to 7,366.50, 10,165.86 and 4,222.98

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Solution

The fourth proportional to 7,366.50, 10,165.86 and 4,222.98 is: 5,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.50 : 10,165.86 = 4,222.98 : x
  2. Step 2: Convert to fraction form
    7,366.50/10,165.86 = 4,222.98/x
  3. Step 3: Cross multiply
    7,366.50x = 10,165.86 × 4,222.98
  4. Step 4: Simplify right side
    7,366.50x = 42,930,223.46
  5. Step 5: Solve for x
    x = 42,930,223.46/7,366.50
  6. Step 6: Final answer
    x = 5,827.76

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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.