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Finding the Fourth Proportional to 6,701.05, 10,053.87 and 3,005.83

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Solution

The fourth proportional to 6,701.05, 10,053.87 and 3,005.83 is: 4,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.05 : 10,053.87 = 3,005.83 : x
  2. Step 2: Convert to fraction form
    6,701.05/10,053.87 = 3,005.83/x
  3. Step 3: Cross multiply
    6,701.05x = 10,053.87 × 3,005.83
  4. Step 4: Simplify right side
    6,701.05x = 30,220,224.06
  5. Step 5: Solve for x
    x = 30,220,224.06/6,701.05
  6. Step 6: Final answer
    x = 4,509.77

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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.