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Finding the Fourth Proportional to 8,117.72, 11,203.52 and 4,582.07

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Solution

The fourth proportional to 8,117.72, 11,203.52 and 4,582.07 is: 6,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.72 : 11,203.52 = 4,582.07 : x
  2. Step 2: Convert to fraction form
    8,117.72/11,203.52 = 4,582.07/x
  3. Step 3: Cross multiply
    8,117.72x = 11,203.52 × 4,582.07
  4. Step 4: Simplify right side
    8,117.72x = 51,335,275.97
  5. Step 5: Solve for x
    x = 51,335,275.97/8,117.72
  6. Step 6: Final answer
    x = 6,323.85

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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.