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Finding the Fourth Proportional to 8,920.64, 13,373.68 and 5,213.76

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Solution

The fourth proportional to 8,920.64, 13,373.68 and 5,213.76 is: 7,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.64 : 13,373.68 = 5,213.76 : x
  2. Step 2: Convert to fraction form
    8,920.64/13,373.68 = 5,213.76/x
  3. Step 3: Cross multiply
    8,920.64x = 13,373.68 × 5,213.76
  4. Step 4: Simplify right side
    8,920.64x = 69,727,157.84
  5. Step 5: Solve for x
    x = 69,727,157.84/8,920.64
  6. Step 6: Final answer
    x = 7,816.39

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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.