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Finding the Fourth Proportional to 6,995.03, 10,499.84 and 3,102.17

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Solution

The fourth proportional to 6,995.03, 10,499.84 and 3,102.17 is: 4,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.03 : 10,499.84 = 3,102.17 : x
  2. Step 2: Convert to fraction form
    6,995.03/10,499.84 = 3,102.17/x
  3. Step 3: Cross multiply
    6,995.03x = 10,499.84 × 3,102.17
  4. Step 4: Simplify right side
    6,995.03x = 32,572,288.65
  5. Step 5: Solve for x
    x = 32,572,288.65/6,995.03
  6. Step 6: Final answer
    x = 4,656.49

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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.