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Finding the Fourth Proportional to 6,905.34, 10,357.34 and 3,210.39

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Solution

The fourth proportional to 6,905.34, 10,357.34 and 3,210.39 is: 4,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.34 : 10,357.34 = 3,210.39 : x
  2. Step 2: Convert to fraction form
    6,905.34/10,357.34 = 3,210.39/x
  3. Step 3: Cross multiply
    6,905.34x = 10,357.34 × 3,210.39
  4. Step 4: Simplify right side
    6,905.34x = 33,251,084.71
  5. Step 5: Solve for x
    x = 33,251,084.71/6,905.34
  6. Step 6: Final answer
    x = 4,815.27

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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.