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Finding the Fourth Proportional to 10,705.49, 16,056.81 and 4,860.75

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Solution

The fourth proportional to 10,705.49, 16,056.81 and 4,860.75 is: 7,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.49 : 16,056.81 = 4,860.75 : x
  2. Step 2: Convert to fraction form
    10,705.49/16,056.81 = 4,860.75/x
  3. Step 3: Cross multiply
    10,705.49x = 16,056.81 × 4,860.75
  4. Step 4: Simplify right side
    10,705.49x = 78,048,139.21
  5. Step 5: Solve for x
    x = 78,048,139.21/10,705.49
  6. Step 6: Final answer
    x = 7,290.48

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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.