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Finding the Fourth Proportional to 11,234.77, 15,503.76 and 6,199.47

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Solution

The fourth proportional to 11,234.77, 15,503.76 and 6,199.47 is: 8,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.77 : 15,503.76 = 6,199.47 : x
  2. Step 2: Convert to fraction form
    11,234.77/15,503.76 = 6,199.47/x
  3. Step 3: Cross multiply
    11,234.77x = 15,503.76 × 6,199.47
  4. Step 4: Simplify right side
    11,234.77x = 96,115,095.01
  5. Step 5: Solve for x
    x = 96,115,095.01/11,234.77
  6. Step 6: Final answer
    x = 8,555.15

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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.