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Finding the Fourth Proportional to 7,096.61, 10,629.42 and 5,850.02

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Solution

The fourth proportional to 7,096.61, 10,629.42 and 5,850.02 is: 8,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.61 : 10,629.42 = 5,850.02 : x
  2. Step 2: Convert to fraction form
    7,096.61/10,629.42 = 5,850.02/x
  3. Step 3: Cross multiply
    7,096.61x = 10,629.42 × 5,850.02
  4. Step 4: Simplify right side
    7,096.61x = 62,182,237.19
  5. Step 5: Solve for x
    x = 62,182,237.19/7,096.61
  6. Step 6: Final answer
    x = 8,762.25

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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.