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Finding the Fourth Proportional to 6,989.51, 10,477.19 and 3,474.11

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Solution

The fourth proportional to 6,989.51, 10,477.19 and 3,474.11 is: 5,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.51 : 10,477.19 = 3,474.11 : x
  2. Step 2: Convert to fraction form
    6,989.51/10,477.19 = 3,474.11/x
  3. Step 3: Cross multiply
    6,989.51x = 10,477.19 × 3,474.11
  4. Step 4: Simplify right side
    6,989.51x = 36,398,840.79
  5. Step 5: Solve for x
    x = 36,398,840.79/6,989.51
  6. Step 6: Final answer
    x = 5,207.64

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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.