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Finding the Fourth Proportional to 10,483.39, 14,467.05 and 5,767.66

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Solution

The fourth proportional to 10,483.39, 14,467.05 and 5,767.66 is: 7,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.39 : 14,467.05 = 5,767.66 : x
  2. Step 2: Convert to fraction form
    10,483.39/14,467.05 = 5,767.66/x
  3. Step 3: Cross multiply
    10,483.39x = 14,467.05 × 5,767.66
  4. Step 4: Simplify right side
    10,483.39x = 83,441,025.60
  5. Step 5: Solve for x
    x = 83,441,025.60/10,483.39
  6. Step 6: Final answer
    x = 7,959.36

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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.