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Finding the Fourth Proportional to 10,300.89, 14,217.77 and 6,768.89

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Solution

The fourth proportional to 10,300.89, 14,217.77 and 6,768.89 is: 9,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.89 : 14,217.77 = 6,768.89 : x
  2. Step 2: Convert to fraction form
    10,300.89/14,217.77 = 6,768.89/x
  3. Step 3: Cross multiply
    10,300.89x = 14,217.77 × 6,768.89
  4. Step 4: Simplify right side
    10,300.89x = 96,238,416.24
  5. Step 5: Solve for x
    x = 96,238,416.24/10,300.89
  6. Step 6: Final answer
    x = 9,342.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.