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Finding the Fourth Proportional to 10,701.64, 16,048.46 and 3,680.20

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Solution

The fourth proportional to 10,701.64, 16,048.46 and 3,680.20 is: 5,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.64 : 16,048.46 = 3,680.20 : x
  2. Step 2: Convert to fraction form
    10,701.64/16,048.46 = 3,680.20/x
  3. Step 3: Cross multiply
    10,701.64x = 16,048.46 × 3,680.20
  4. Step 4: Simplify right side
    10,701.64x = 59,061,542.49
  5. Step 5: Solve for x
    x = 59,061,542.49/10,701.64
  6. Step 6: Final answer
    x = 5,518.92

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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.