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Finding the Fourth Proportional to 11,133.84, 15,364.87 and 6,097.97

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Solution

The fourth proportional to 11,133.84, 15,364.87 and 6,097.97 is: 8,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.84 : 15,364.87 = 6,097.97 : x
  2. Step 2: Convert to fraction form
    11,133.84/15,364.87 = 6,097.97/x
  3. Step 3: Cross multiply
    11,133.84x = 15,364.87 × 6,097.97
  4. Step 4: Simplify right side
    11,133.84x = 93,694,424.24
  5. Step 5: Solve for x
    x = 93,694,424.24/11,133.84
  6. Step 6: Final answer
    x = 8,415.28

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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.