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Finding the Fourth Proportional to 10,768.88, 14,859.72 and 6,289.38

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Solution

The fourth proportional to 10,768.88, 14,859.72 and 6,289.38 is: 8,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.88 : 14,859.72 = 6,289.38 : x
  2. Step 2: Convert to fraction form
    10,768.88/14,859.72 = 6,289.38/x
  3. Step 3: Cross multiply
    10,768.88x = 14,859.72 × 6,289.38
  4. Step 4: Simplify right side
    10,768.88x = 93,458,425.77
  5. Step 5: Solve for x
    x = 93,458,425.77/10,768.88
  6. Step 6: Final answer
    x = 8,678.57

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Why These Related Problems?

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