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Finding the Fourth Proportional to 7,504.81, 10,356.52 and 4,147.77

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Solution

The fourth proportional to 7,504.81, 10,356.52 and 4,147.77 is: 5,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.81 : 10,356.52 = 4,147.77 : x
  2. Step 2: Convert to fraction form
    7,504.81/10,356.52 = 4,147.77/x
  3. Step 3: Cross multiply
    7,504.81x = 10,356.52 × 4,147.77
  4. Step 4: Simplify right side
    7,504.81x = 42,956,462.96
  5. Step 5: Solve for x
    x = 42,956,462.96/7,504.81
  6. Step 6: Final answer
    x = 5,723.86

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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.