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Finding the Fourth Proportional to 7,683.30, 11,524.95 and 5,480.10

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Solution

The fourth proportional to 7,683.30, 11,524.95 and 5,480.10 is: 8,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.30 : 11,524.95 = 5,480.10 : x
  2. Step 2: Convert to fraction form
    7,683.30/11,524.95 = 5,480.10/x
  3. Step 3: Cross multiply
    7,683.30x = 11,524.95 × 5,480.10
  4. Step 4: Simplify right side
    7,683.30x = 63,157,878.50
  5. Step 5: Solve for x
    x = 63,157,878.50/7,683.30
  6. Step 6: Final answer
    x = 8,220.15

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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.