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Finding the Fourth Proportional to 8,330.12, 11,495.47 and 4,553.22

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Solution

The fourth proportional to 8,330.12, 11,495.47 and 4,553.22 is: 6,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.12 : 11,495.47 = 4,553.22 : x
  2. Step 2: Convert to fraction form
    8,330.12/11,495.47 = 4,553.22/x
  3. Step 3: Cross multiply
    8,330.12x = 11,495.47 × 4,553.22
  4. Step 4: Simplify right side
    8,330.12x = 52,341,403.91
  5. Step 5: Solve for x
    x = 52,341,403.91/8,330.12
  6. Step 6: Final answer
    x = 6,283.39

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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.