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Finding the Fourth Proportional to 10,705.77, 16,065.51 and 5,778.84

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Solution

The fourth proportional to 10,705.77, 16,065.51 and 5,778.84 is: 8,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.77 : 16,065.51 = 5,778.84 : x
  2. Step 2: Convert to fraction form
    10,705.77/16,065.51 = 5,778.84/x
  3. Step 3: Cross multiply
    10,705.77x = 16,065.51 × 5,778.84
  4. Step 4: Simplify right side
    10,705.77x = 92,840,011.81
  5. Step 5: Solve for x
    x = 92,840,011.81/10,705.77
  6. Step 6: Final answer
    x = 8,671.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.