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Finding the Fourth Proportional to 8,365.76, 11,539.04 and 5,220.80

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Solution

The fourth proportional to 8,365.76, 11,539.04 and 5,220.80 is: 7,201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.76 : 11,539.04 = 5,220.80 : x
  2. Step 2: Convert to fraction form
    8,365.76/11,539.04 = 5,220.80/x
  3. Step 3: Cross multiply
    8,365.76x = 11,539.04 × 5,220.80
  4. Step 4: Simplify right side
    8,365.76x = 60,243,020.03
  5. Step 5: Solve for x
    x = 60,243,020.03/8,365.76
  6. Step 6: Final answer
    x = 7,201.14

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1.5x scale

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.