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Finding the Fourth Proportional to 7,458.48, 11,197.44 and 5,728.32

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Solution

The fourth proportional to 7,458.48, 11,197.44 and 5,728.32 is: 8,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.48 : 11,197.44 = 5,728.32 : x
  2. Step 2: Convert to fraction form
    7,458.48/11,197.44 = 5,728.32/x
  3. Step 3: Cross multiply
    7,458.48x = 11,197.44 × 5,728.32
  4. Step 4: Simplify right side
    7,458.48x = 64,142,519.50
  5. Step 5: Solve for x
    x = 64,142,519.50/7,458.48
  6. Step 6: Final answer
    x = 8,599.95

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Why These Related Problems?

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