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Finding the Fourth Proportional to 11,133.69, 15,364.49 and 6,098.09

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Solution

The fourth proportional to 11,133.69, 15,364.49 and 6,098.09 is: 8,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.69 : 15,364.49 = 6,098.09 : x
  2. Step 2: Convert to fraction form
    11,133.69/15,364.49 = 6,098.09/x
  3. Step 3: Cross multiply
    11,133.69x = 15,364.49 × 6,098.09
  4. Step 4: Simplify right side
    11,133.69x = 93,693,935.51
  5. Step 5: Solve for x
    x = 93,693,935.51/11,133.69
  6. Step 6: Final answer
    x = 8,415.36

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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.