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Finding the Fourth Proportional to 11,133.48, 15,363.60 and 6,097.62

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Solution

The fourth proportional to 11,133.48, 15,363.60 and 6,097.62 is: 8,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.48 : 15,363.60 = 6,097.62 : x
  2. Step 2: Convert to fraction form
    11,133.48/15,363.60 = 6,097.62/x
  3. Step 3: Cross multiply
    11,133.48x = 15,363.60 × 6,097.62
  4. Step 4: Simplify right side
    11,133.48x = 93,681,394.63
  5. Step 5: Solve for x
    x = 93,681,394.63/11,133.48
  6. Step 6: Final answer
    x = 8,414.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.