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Finding the Fourth Proportional to 10,830.49, 16,239.66 and 5,272

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Solution

The fourth proportional to 10,830.49, 16,239.66 and 5,272 is: 7,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.49 : 16,239.66 = 5,272 : x
  2. Step 2: Convert to fraction form
    10,830.49/16,239.66 = 5,272/x
  3. Step 3: Cross multiply
    10,830.49x = 16,239.66 × 5,272
  4. Step 4: Simplify right side
    10,830.49x = 85,615,487.52
  5. Step 5: Solve for x
    x = 85,615,487.52/10,830.49
  6. Step 6: Final answer
    x = 7,905.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.