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Finding the Fourth Proportional to 7,654.82, 10,563.65 and 4,467.88

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Solution

The fourth proportional to 7,654.82, 10,563.65 and 4,467.88 is: 6,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.82 : 10,563.65 = 4,467.88 : x
  2. Step 2: Convert to fraction form
    7,654.82/10,563.65 = 4,467.88/x
  3. Step 3: Cross multiply
    7,654.82x = 10,563.65 × 4,467.88
  4. Step 4: Simplify right side
    7,654.82x = 47,197,071.81
  5. Step 5: Solve for x
    x = 47,197,071.81/7,654.82
  6. Step 6: Final answer
    x = 6,165.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.