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Finding the Fourth Proportional to 10,621.37, 14,657.86 and 5,841.68

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Solution

The fourth proportional to 10,621.37, 14,657.86 and 5,841.68 is: 8,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.37 : 14,657.86 = 5,841.68 : x
  2. Step 2: Convert to fraction form
    10,621.37/14,657.86 = 5,841.68/x
  3. Step 3: Cross multiply
    10,621.37x = 14,657.86 × 5,841.68
  4. Step 4: Simplify right side
    10,621.37x = 85,626,542.21
  5. Step 5: Solve for x
    x = 85,626,542.21/10,621.37
  6. Step 6: Final answer
    x = 8,061.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.