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Finding the Fourth Proportional to 11,607.38, 16,003.22 and 9,480.68

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Solution

The fourth proportional to 11,607.38, 16,003.22 and 9,480.68 is: 13,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.38 : 16,003.22 = 9,480.68 : x
  2. Step 2: Convert to fraction form
    11,607.38/16,003.22 = 9,480.68/x
  3. Step 3: Cross multiply
    11,607.38x = 16,003.22 × 9,480.68
  4. Step 4: Simplify right side
    11,607.38x = 151,721,280.37
  5. Step 5: Solve for x
    x = 151,721,280.37/11,607.38
  6. Step 6: Final answer
    x = 13,071.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.