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Finding the Fourth Proportional to 11,147.77, 15,384.05 and 6,368.34

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Solution

The fourth proportional to 11,147.77, 15,384.05 and 6,368.34 is: 8,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.77 : 15,384.05 = 6,368.34 : x
  2. Step 2: Convert to fraction form
    11,147.77/15,384.05 = 6,368.34/x
  3. Step 3: Cross multiply
    11,147.77x = 15,384.05 × 6,368.34
  4. Step 4: Simplify right side
    11,147.77x = 97,970,910.71
  5. Step 5: Solve for x
    x = 97,970,910.71/11,147.77
  6. Step 6: Final answer
    x = 8,788.39

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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.