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Finding the Fourth Proportional to 7,155.86, 10,736.73 and 4,032.02

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Solution

The fourth proportional to 7,155.86, 10,736.73 and 4,032.02 is: 6,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.86 : 10,736.73 = 4,032.02 : x
  2. Step 2: Convert to fraction form
    7,155.86/10,736.73 = 4,032.02/x
  3. Step 3: Cross multiply
    7,155.86x = 10,736.73 × 4,032.02
  4. Step 4: Simplify right side
    7,155.86x = 43,290,710.09
  5. Step 5: Solve for x
    x = 43,290,710.09/7,155.86
  6. Step 6: Final answer
    x = 6,049.69

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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.