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Finding the Fourth Proportional to 10,365.98, 14,295.99 and 7,173.66

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Solution

The fourth proportional to 10,365.98, 14,295.99 and 7,173.66 is: 9,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.98 : 14,295.99 = 7,173.66 : x
  2. Step 2: Convert to fraction form
    10,365.98/14,295.99 = 7,173.66/x
  3. Step 3: Cross multiply
    10,365.98x = 14,295.99 × 7,173.66
  4. Step 4: Simplify right side
    10,365.98x = 102,554,652.13
  5. Step 5: Solve for x
    x = 102,554,652.13/10,365.98
  6. Step 6: Final answer
    x = 9,893.39

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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.