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Finding the Fourth Proportional to 7,797.48, 11,683.02 and 4,713

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Solution

The fourth proportional to 7,797.48, 11,683.02 and 4,713 is: 7,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.48 : 11,683.02 = 4,713 : x
  2. Step 2: Convert to fraction form
    7,797.48/11,683.02 = 4,713/x
  3. Step 3: Cross multiply
    7,797.48x = 11,683.02 × 4,713
  4. Step 4: Simplify right side
    7,797.48x = 55,062,073.26
  5. Step 5: Solve for x
    x = 55,062,073.26/7,797.48
  6. Step 6: Final answer
    x = 7,061.52

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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.