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Finding the Fourth Proportional to 10,125.69, 13,963.23 and 6,768.51

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Solution

The fourth proportional to 10,125.69, 13,963.23 and 6,768.51 is: 9,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.69 : 13,963.23 = 6,768.51 : x
  2. Step 2: Convert to fraction form
    10,125.69/13,963.23 = 6,768.51/x
  3. Step 3: Cross multiply
    10,125.69x = 13,963.23 × 6,768.51
  4. Step 4: Simplify right side
    10,125.69x = 94,510,261.89
  5. Step 5: Solve for x
    x = 94,510,261.89/10,125.69
  6. Step 6: Final answer
    x = 9,333.71

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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.