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Finding the Fourth Proportional to 7,552.81, 10,422.54 and 4,195.86

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Solution

The fourth proportional to 7,552.81, 10,422.54 and 4,195.86 is: 5,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.81 : 10,422.54 = 4,195.86 : x
  2. Step 2: Convert to fraction form
    7,552.81/10,422.54 = 4,195.86/x
  3. Step 3: Cross multiply
    7,552.81x = 10,422.54 × 4,195.86
  4. Step 4: Simplify right side
    7,552.81x = 43,731,518.68
  5. Step 5: Solve for x
    x = 43,731,518.68/7,552.81
  6. Step 6: Final answer
    x = 5,790.10

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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.