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Finding the Fourth Proportional to 7,005.81, 10,511.52 and 2,846.14

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Solution

The fourth proportional to 7,005.81, 10,511.52 and 2,846.14 is: 4,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.81 : 10,511.52 = 2,846.14 : x
  2. Step 2: Convert to fraction form
    7,005.81/10,511.52 = 2,846.14/x
  3. Step 3: Cross multiply
    7,005.81x = 10,511.52 × 2,846.14
  4. Step 4: Simplify right side
    7,005.81x = 29,917,236.59
  5. Step 5: Solve for x
    x = 29,917,236.59/7,005.81
  6. Step 6: Final answer
    x = 4,270.35

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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.