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Finding the Fourth Proportional to 11,604.78, 16,008.77 and 7,823.16

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Solution

The fourth proportional to 11,604.78, 16,008.77 and 7,823.16 is: 10,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.78 : 16,008.77 = 7,823.16 : x
  2. Step 2: Convert to fraction form
    11,604.78/16,008.77 = 7,823.16/x
  3. Step 3: Cross multiply
    11,604.78x = 16,008.77 × 7,823.16
  4. Step 4: Simplify right side
    11,604.78x = 125,239,188.67
  5. Step 5: Solve for x
    x = 125,239,188.67/11,604.78
  6. Step 6: Final answer
    x = 10,792.03

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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.