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Finding the Fourth Proportional to 11,094.36, 15,308.34 and 7,114.68

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Solution

The fourth proportional to 11,094.36, 15,308.34 and 7,114.68 is: 9,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.36 : 15,308.34 = 7,114.68 : x
  2. Step 2: Convert to fraction form
    11,094.36/15,308.34 = 7,114.68/x
  3. Step 3: Cross multiply
    11,094.36x = 15,308.34 × 7,114.68
  4. Step 4: Simplify right side
    11,094.36x = 108,913,940.43
  5. Step 5: Solve for x
    x = 108,913,940.43/11,094.36
  6. Step 6: Final answer
    x = 9,817.05

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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.