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Finding the Fourth Proportional to 7,516.80, 10,369.22 and 6,102.05

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Solution

The fourth proportional to 7,516.80, 10,369.22 and 6,102.05 is: 8,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.80 : 10,369.22 = 6,102.05 : x
  2. Step 2: Convert to fraction form
    7,516.80/10,369.22 = 6,102.05/x
  3. Step 3: Cross multiply
    7,516.80x = 10,369.22 × 6,102.05
  4. Step 4: Simplify right side
    7,516.80x = 63,273,416.54
  5. Step 5: Solve for x
    x = 63,273,416.54/7,516.80
  6. Step 6: Final answer
    x = 8,417.60

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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.