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Finding the Fourth Proportional to 7,900.22, 11,824.61 and 5,819.40

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Solution

The fourth proportional to 7,900.22, 11,824.61 and 5,819.40 is: 8,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.22 : 11,824.61 = 5,819.40 : x
  2. Step 2: Convert to fraction form
    7,900.22/11,824.61 = 5,819.40/x
  3. Step 3: Cross multiply
    7,900.22x = 11,824.61 × 5,819.40
  4. Step 4: Simplify right side
    7,900.22x = 68,812,106.34
  5. Step 5: Solve for x
    x = 68,812,106.34/7,900.22
  6. Step 6: Final answer
    x = 8,710.16

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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.