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Finding the Fourth Proportional to 10,767.69, 14,859.27 and 6,575.94

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Solution

The fourth proportional to 10,767.69, 14,859.27 and 6,575.94 is: 9,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.69 : 14,859.27 = 6,575.94 : x
  2. Step 2: Convert to fraction form
    10,767.69/14,859.27 = 6,575.94/x
  3. Step 3: Cross multiply
    10,767.69x = 14,859.27 × 6,575.94
  4. Step 4: Simplify right side
    10,767.69x = 97,713,667.96
  5. Step 5: Solve for x
    x = 97,713,667.96/10,767.69
  6. Step 6: Final answer
    x = 9,074.71

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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.