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Finding the Fourth Proportional to 10,094.36, 13,927.04 and 7,111.83

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Solution

The fourth proportional to 10,094.36, 13,927.04 and 7,111.83 is: 9,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.36 : 13,927.04 = 7,111.83 : x
  2. Step 2: Convert to fraction form
    10,094.36/13,927.04 = 7,111.83/x
  3. Step 3: Cross multiply
    10,094.36x = 13,927.04 × 7,111.83
  4. Step 4: Simplify right side
    10,094.36x = 99,046,784.22
  5. Step 5: Solve for x
    x = 99,046,784.22/10,094.36
  6. Step 6: Final answer
    x = 9,812.10

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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.