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Finding the Fourth Proportional to 11,267.22, 15,532.15 and 8,277.86

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Solution

The fourth proportional to 11,267.22, 15,532.15 and 8,277.86 is: 11,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.22 : 15,532.15 = 8,277.86 : x
  2. Step 2: Convert to fraction form
    11,267.22/15,532.15 = 8,277.86/x
  3. Step 3: Cross multiply
    11,267.22x = 15,532.15 × 8,277.86
  4. Step 4: Simplify right side
    11,267.22x = 128,572,981.33
  5. Step 5: Solve for x
    x = 128,572,981.33/11,267.22
  6. Step 6: Final answer
    x = 11,411.24

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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.