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Finding the Fourth Proportional to 10,596.60, 15,887.70 and 4,021.80

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Solution

The fourth proportional to 10,596.60, 15,887.70 and 4,021.80 is: 6,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.60 : 15,887.70 = 4,021.80 : x
  2. Step 2: Convert to fraction form
    10,596.60/15,887.70 = 4,021.80/x
  3. Step 3: Cross multiply
    10,596.60x = 15,887.70 × 4,021.80
  4. Step 4: Simplify right side
    10,596.60x = 63,897,151.86
  5. Step 5: Solve for x
    x = 63,897,151.86/10,596.60
  6. Step 6: Final answer
    x = 6,029.97

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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.