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Finding the Fourth Proportional to 7,763.27, 10,713.33 and 4,619.25

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Solution

The fourth proportional to 7,763.27, 10,713.33 and 4,619.25 is: 6,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.27 : 10,713.33 = 4,619.25 : x
  2. Step 2: Convert to fraction form
    7,763.27/10,713.33 = 4,619.25/x
  3. Step 3: Cross multiply
    7,763.27x = 10,713.33 × 4,619.25
  4. Step 4: Simplify right side
    7,763.27x = 49,487,549.60
  5. Step 5: Solve for x
    x = 49,487,549.60/7,763.27
  6. Step 6: Final answer
    x = 6,374.58

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Why These Related Problems?

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