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Finding the Fourth Proportional to 8,590.30, 11,854.74 and 5,233.27

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Solution

The fourth proportional to 8,590.30, 11,854.74 and 5,233.27 is: 7,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.30 : 11,854.74 = 5,233.27 : x
  2. Step 2: Convert to fraction form
    8,590.30/11,854.74 = 5,233.27/x
  3. Step 3: Cross multiply
    8,590.30x = 11,854.74 × 5,233.27
  4. Step 4: Simplify right side
    8,590.30x = 62,039,055.20
  5. Step 5: Solve for x
    x = 62,039,055.20/8,590.30
  6. Step 6: Final answer
    x = 7,221.99

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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.