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Finding the Fourth Proportional to 8,720.16, 13,066.80 and 5,203.20

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Solution

The fourth proportional to 8,720.16, 13,066.80 and 5,203.20 is: 7,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.16 : 13,066.80 = 5,203.20 : x
  2. Step 2: Convert to fraction form
    8,720.16/13,066.80 = 5,203.20/x
  3. Step 3: Cross multiply
    8,720.16x = 13,066.80 × 5,203.20
  4. Step 4: Simplify right side
    8,720.16x = 67,989,173.76
  5. Step 5: Solve for x
    x = 67,989,173.76/8,720.16
  6. Step 6: Final answer
    x = 7,796.78

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