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Finding the Fourth Proportional to 7,602.56, 11,406.47 and 3,162.61

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Solution

The fourth proportional to 7,602.56, 11,406.47 and 3,162.61 is: 4,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.56 : 11,406.47 = 3,162.61 : x
  2. Step 2: Convert to fraction form
    7,602.56/11,406.47 = 3,162.61/x
  3. Step 3: Cross multiply
    7,602.56x = 11,406.47 × 3,162.61
  4. Step 4: Simplify right side
    7,602.56x = 36,074,232.32
  5. Step 5: Solve for x
    x = 36,074,232.32/7,602.56
  6. Step 6: Final answer
    x = 4,745.01

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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.