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Finding the Fourth Proportional to 7,799.76, 10,758.03 and 4,964.34

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Solution

The fourth proportional to 7,799.76, 10,758.03 and 4,964.34 is: 6,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.76 : 10,758.03 = 4,964.34 : x
  2. Step 2: Convert to fraction form
    7,799.76/10,758.03 = 4,964.34/x
  3. Step 3: Cross multiply
    7,799.76x = 10,758.03 × 4,964.34
  4. Step 4: Simplify right side
    7,799.76x = 53,406,518.65
  5. Step 5: Solve for x
    x = 53,406,518.65/7,799.76
  6. Step 6: Final answer
    x = 6,847.20

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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.