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Finding the Fourth Proportional to 10,305.84, 15,452.04 and 6,785.19

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Solution

The fourth proportional to 10,305.84, 15,452.04 and 6,785.19 is: 10,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.84 : 15,452.04 = 6,785.19 : x
  2. Step 2: Convert to fraction form
    10,305.84/15,452.04 = 6,785.19/x
  3. Step 3: Cross multiply
    10,305.84x = 15,452.04 × 6,785.19
  4. Step 4: Simplify right side
    10,305.84x = 104,845,027.29
  5. Step 5: Solve for x
    x = 104,845,027.29/10,305.84
  6. Step 6: Final answer
    x = 10,173.36

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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.