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Finding the Fourth Proportional to 6,903.84, 10,355.77 and 1,709.72

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Solution

The fourth proportional to 6,903.84, 10,355.77 and 1,709.72 is: 2,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.84 : 10,355.77 = 1,709.72 : x
  2. Step 2: Convert to fraction form
    6,903.84/10,355.77 = 1,709.72/x
  3. Step 3: Cross multiply
    6,903.84x = 10,355.77 × 1,709.72
  4. Step 4: Simplify right side
    6,903.84x = 17,705,456.28
  5. Step 5: Solve for x
    x = 17,705,456.28/6,903.84
  6. Step 6: Final answer
    x = 2,564.58

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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.