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Finding the Fourth Proportional to 10,497.12, 14,485.98 and 5,781.39

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Solution

The fourth proportional to 10,497.12, 14,485.98 and 5,781.39 is: 7,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.12 : 14,485.98 = 5,781.39 : x
  2. Step 2: Convert to fraction form
    10,497.12/14,485.98 = 5,781.39/x
  3. Step 3: Cross multiply
    10,497.12x = 14,485.98 × 5,781.39
  4. Step 4: Simplify right side
    10,497.12x = 83,749,099.91
  5. Step 5: Solve for x
    x = 83,749,099.91/10,497.12
  6. Step 6: Final answer
    x = 7,978.29

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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.