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Finding the Fourth Proportional to 6,763.80, 10,153 and 5,680.02

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Solution

The fourth proportional to 6,763.80, 10,153 and 5,680.02 is: 8,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.80 : 10,153 = 5,680.02 : x
  2. Step 2: Convert to fraction form
    6,763.80/10,153 = 5,680.02/x
  3. Step 3: Cross multiply
    6,763.80x = 10,153 × 5,680.02
  4. Step 4: Simplify right side
    6,763.80x = 57,669,243.06
  5. Step 5: Solve for x
    x = 57,669,243.06/6,763.80
  6. Step 6: Final answer
    x = 8,526.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.