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Finding the Fourth Proportional to 8,330.48, 11,496 and 4,553.66

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Solution

The fourth proportional to 8,330.48, 11,496 and 4,553.66 is: 6,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.48 : 11,496 = 4,553.66 : x
  2. Step 2: Convert to fraction form
    8,330.48/11,496 = 4,553.66/x
  3. Step 3: Cross multiply
    8,330.48x = 11,496 × 4,553.66
  4. Step 4: Simplify right side
    8,330.48x = 52,348,875.36
  5. Step 5: Solve for x
    x = 52,348,875.36/8,330.48
  6. Step 6: Final answer
    x = 6,284.02

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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.