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Finding the Fourth Proportional to 10,302.84, 15,447.56 and 6,782.18

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Solution

The fourth proportional to 10,302.84, 15,447.56 and 6,782.18 is: 10,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.84 : 15,447.56 = 6,782.18 : x
  2. Step 2: Convert to fraction form
    10,302.84/15,447.56 = 6,782.18/x
  3. Step 3: Cross multiply
    10,302.84x = 15,447.56 × 6,782.18
  4. Step 4: Simplify right side
    10,302.84x = 104,768,021.33
  5. Step 5: Solve for x
    x = 104,768,021.33/10,302.84
  6. Step 6: Final answer
    x = 10,168.85

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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.