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Finding the Fourth Proportional to 10,090.90, 13,923.18 and 6,111.94

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Solution

The fourth proportional to 10,090.90, 13,923.18 and 6,111.94 is: 8,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.90 : 13,923.18 = 6,111.94 : x
  2. Step 2: Convert to fraction form
    10,090.90/13,923.18 = 6,111.94/x
  3. Step 3: Cross multiply
    10,090.90x = 13,923.18 × 6,111.94
  4. Step 4: Simplify right side
    10,090.90x = 85,097,640.77
  5. Step 5: Solve for x
    x = 85,097,640.77/10,090.90
  6. Step 6: Final answer
    x = 8,433.11

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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.