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Finding the Fourth Proportional to 6,712.32, 10,055.01 and 3,205.71

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Solution

The fourth proportional to 6,712.32, 10,055.01 and 3,205.71 is: 4,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.32 : 10,055.01 = 3,205.71 : x
  2. Step 2: Convert to fraction form
    6,712.32/10,055.01 = 3,205.71/x
  3. Step 3: Cross multiply
    6,712.32x = 10,055.01 × 3,205.71
  4. Step 4: Simplify right side
    6,712.32x = 32,233,446.11
  5. Step 5: Solve for x
    x = 32,233,446.11/6,712.32
  6. Step 6: Final answer
    x = 4,802.13

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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.