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Finding the Fourth Proportional to 7,096.55, 10,641.20 and 4,135.93

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Solution

The fourth proportional to 7,096.55, 10,641.20 and 4,135.93 is: 6,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.55 : 10,641.20 = 4,135.93 : x
  2. Step 2: Convert to fraction form
    7,096.55/10,641.20 = 4,135.93/x
  3. Step 3: Cross multiply
    7,096.55x = 10,641.20 × 4,135.93
  4. Step 4: Simplify right side
    7,096.55x = 44,011,242.05
  5. Step 5: Solve for x
    x = 44,011,242.05/7,096.55
  6. Step 6: Final answer
    x = 6,201.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.