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Finding the Fourth Proportional to 6,993.68, 10,494.18 and 4,527.86

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Solution

The fourth proportional to 6,993.68, 10,494.18 and 4,527.86 is: 6,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.68 : 10,494.18 = 4,527.86 : x
  2. Step 2: Convert to fraction form
    6,993.68/10,494.18 = 4,527.86/x
  3. Step 3: Cross multiply
    6,993.68x = 10,494.18 × 4,527.86
  4. Step 4: Simplify right side
    6,993.68x = 47,516,125.38
  5. Step 5: Solve for x
    x = 47,516,125.38/6,993.68
  6. Step 6: Final answer
    x = 6,794.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.