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Finding the Fourth Proportional to 12,683.63, 17,499.91 and 7,904.34

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Solution

The fourth proportional to 12,683.63, 17,499.91 and 7,904.34 is: 10,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.63 : 17,499.91 = 7,904.34 : x
  2. Step 2: Convert to fraction form
    12,683.63/17,499.91 = 7,904.34/x
  3. Step 3: Cross multiply
    12,683.63x = 17,499.91 × 7,904.34
  4. Step 4: Simplify right side
    12,683.63x = 138,325,218.85
  5. Step 5: Solve for x
    x = 138,325,218.85/12,683.63
  6. Step 6: Final answer
    x = 10,905.81

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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.