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Finding the Fourth Proportional to 7,544.16, 11,316.24 and 3,158.54

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Solution

The fourth proportional to 7,544.16, 11,316.24 and 3,158.54 is: 4,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.16 : 11,316.24 = 3,158.54 : x
  2. Step 2: Convert to fraction form
    7,544.16/11,316.24 = 3,158.54/x
  3. Step 3: Cross multiply
    7,544.16x = 11,316.24 × 3,158.54
  4. Step 4: Simplify right side
    7,544.16x = 35,742,859.52
  5. Step 5: Solve for x
    x = 35,742,859.52/7,544.16
  6. Step 6: Final answer
    x = 4,737.82

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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.