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Finding the Fourth Proportional to 11,026.40, 15,214.05 and 8,042.94

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Solution

The fourth proportional to 11,026.40, 15,214.05 and 8,042.94 is: 11,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.40 : 15,214.05 = 8,042.94 : x
  2. Step 2: Convert to fraction form
    11,026.40/15,214.05 = 8,042.94/x
  3. Step 3: Cross multiply
    11,026.40x = 15,214.05 × 8,042.94
  4. Step 4: Simplify right side
    11,026.40x = 122,365,691.31
  5. Step 5: Solve for x
    x = 122,365,691.31/11,026.40
  6. Step 6: Final answer
    x = 11,097.52

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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.