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Finding the Fourth Proportional to 10,768.57, 14,860.88 and 6,052.93

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Solution

The fourth proportional to 10,768.57, 14,860.88 and 6,052.93 is: 8,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.57 : 14,860.88 = 6,052.93 : x
  2. Step 2: Convert to fraction form
    10,768.57/14,860.88 = 6,052.93/x
  3. Step 3: Cross multiply
    10,768.57x = 14,860.88 × 6,052.93
  4. Step 4: Simplify right side
    10,768.57x = 89,951,866.38
  5. Step 5: Solve for x
    x = 89,951,866.38/10,768.57
  6. Step 6: Final answer
    x = 8,353.19

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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.