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Finding the Fourth Proportional to 8,582.36, 11,840.18 and 5,222.48

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Solution

The fourth proportional to 8,582.36, 11,840.18 and 5,222.48 is: 7,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.36 : 11,840.18 = 5,222.48 : x
  2. Step 2: Convert to fraction form
    8,582.36/11,840.18 = 5,222.48/x
  3. Step 3: Cross multiply
    8,582.36x = 11,840.18 × 5,222.48
  4. Step 4: Simplify right side
    8,582.36x = 61,835,017.93
  5. Step 5: Solve for x
    x = 61,835,017.93/8,582.36
  6. Step 6: Final answer
    x = 7,204.90

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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.