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Finding the Fourth Proportional to 10,596.89, 14,625.63 and 7,238.46

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Solution

The fourth proportional to 10,596.89, 14,625.63 and 7,238.46 is: 9,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.89 : 14,625.63 = 7,238.46 : x
  2. Step 2: Convert to fraction form
    10,596.89/14,625.63 = 7,238.46/x
  3. Step 3: Cross multiply
    10,596.89x = 14,625.63 × 7,238.46
  4. Step 4: Simplify right side
    10,596.89x = 105,867,092.58
  5. Step 5: Solve for x
    x = 105,867,092.58/10,596.89
  6. Step 6: Final answer
    x = 9,990.39

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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.