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Finding the Fourth Proportional to 7,886.22, 11,809.89 and 4,957.26

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Solution

The fourth proportional to 7,886.22, 11,809.89 and 4,957.26 is: 7,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.22 : 11,809.89 = 4,957.26 : x
  2. Step 2: Convert to fraction form
    7,886.22/11,809.89 = 4,957.26/x
  3. Step 3: Cross multiply
    7,886.22x = 11,809.89 × 4,957.26
  4. Step 4: Simplify right side
    7,886.22x = 58,544,695.30
  5. Step 5: Solve for x
    x = 58,544,695.30/7,886.22
  6. Step 6: Final answer
    x = 7,423.67

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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.