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Finding the Fourth Proportional to 11,587.83, 16,004.34 and 7,804.42

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Solution

The fourth proportional to 11,587.83, 16,004.34 and 7,804.42 is: 10,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.83 : 16,004.34 = 7,804.42 : x
  2. Step 2: Convert to fraction form
    11,587.83/16,004.34 = 7,804.42/x
  3. Step 3: Cross multiply
    11,587.83x = 16,004.34 × 7,804.42
  4. Step 4: Simplify right side
    11,587.83x = 124,904,591.18
  5. Step 5: Solve for x
    x = 124,904,591.18/11,587.83
  6. Step 6: Final answer
    x = 10,778.95

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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.