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Finding the Fourth Proportional to 10,764.77, 14,847.12 and 7,790.45

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Solution

The fourth proportional to 10,764.77, 14,847.12 and 7,790.45 is: 10,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.77 : 14,847.12 = 7,790.45 : x
  2. Step 2: Convert to fraction form
    10,764.77/14,847.12 = 7,790.45/x
  3. Step 3: Cross multiply
    10,764.77x = 14,847.12 × 7,790.45
  4. Step 4: Simplify right side
    10,764.77x = 115,665,671.77
  5. Step 5: Solve for x
    x = 115,665,671.77/10,764.77
  6. Step 6: Final answer
    x = 10,744.84

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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.