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Finding the Fourth Proportional to 10,435.77, 14,415.17 and 7,778.57

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Solution

The fourth proportional to 10,435.77, 14,415.17 and 7,778.57 is: 10,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.77 : 14,415.17 = 7,778.57 : x
  2. Step 2: Convert to fraction form
    10,435.77/14,415.17 = 7,778.57/x
  3. Step 3: Cross multiply
    10,435.77x = 14,415.17 × 7,778.57
  4. Step 4: Simplify right side
    10,435.77x = 112,129,297.94
  5. Step 5: Solve for x
    x = 112,129,297.94/10,435.77
  6. Step 6: Final answer
    x = 10,744.71

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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.