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Finding the Fourth Proportional to 7,358.42, 11,023.72 and 5,695.39

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Solution

The fourth proportional to 7,358.42, 11,023.72 and 5,695.39 is: 8,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.42 : 11,023.72 = 5,695.39 : x
  2. Step 2: Convert to fraction form
    7,358.42/11,023.72 = 5,695.39/x
  3. Step 3: Cross multiply
    7,358.42x = 11,023.72 × 5,695.39
  4. Step 4: Simplify right side
    7,358.42x = 62,784,342.85
  5. Step 5: Solve for x
    x = 62,784,342.85/7,358.42
  6. Step 6: Final answer
    x = 8,532.32

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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.