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Finding the Fourth Proportional to 11,133.05, 15,363.88 and 6,097.48

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Solution

The fourth proportional to 11,133.05, 15,363.88 and 6,097.48 is: 8,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.05 : 15,363.88 = 6,097.48 : x
  2. Step 2: Convert to fraction form
    11,133.05/15,363.88 = 6,097.48/x
  3. Step 3: Cross multiply
    11,133.05x = 15,363.88 × 6,097.48
  4. Step 4: Simplify right side
    11,133.05x = 93,680,897.37
  5. Step 5: Solve for x
    x = 93,680,897.37/11,133.05
  6. Step 6: Final answer
    x = 8,414.67

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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.