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Finding the Fourth Proportional to 8,924.64, 13,365.84 and 4,531.20

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Solution

The fourth proportional to 8,924.64, 13,365.84 and 4,531.20 is: 6,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.64 : 13,365.84 = 4,531.20 : x
  2. Step 2: Convert to fraction form
    8,924.64/13,365.84 = 4,531.20/x
  3. Step 3: Cross multiply
    8,924.64x = 13,365.84 × 4,531.20
  4. Step 4: Simplify right side
    8,924.64x = 60,563,294.21
  5. Step 5: Solve for x
    x = 60,563,294.21/8,924.64
  6. Step 6: Final answer
    x = 6,786.08

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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.