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Finding the Fourth Proportional to 10,730.70, 16,100.64 and 5,803.80

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Solution

The fourth proportional to 10,730.70, 16,100.64 and 5,803.80 is: 8,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.70 : 16,100.64 = 5,803.80 : x
  2. Step 2: Convert to fraction form
    10,730.70/16,100.64 = 5,803.80/x
  3. Step 3: Cross multiply
    10,730.70x = 16,100.64 × 5,803.80
  4. Step 4: Simplify right side
    10,730.70x = 93,444,894.43
  5. Step 5: Solve for x
    x = 93,444,894.43/10,730.70
  6. Step 6: Final answer
    x = 8,708.18

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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.