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Finding the Fourth Proportional to 10,511.94, 14,506.59 and 5,731.85

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Solution

The fourth proportional to 10,511.94, 14,506.59 and 5,731.85 is: 7,910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.94 : 14,506.59 = 5,731.85 : x
  2. Step 2: Convert to fraction form
    10,511.94/14,506.59 = 5,731.85/x
  3. Step 3: Cross multiply
    10,511.94x = 14,506.59 × 5,731.85
  4. Step 4: Simplify right side
    10,511.94x = 83,149,525.36
  5. Step 5: Solve for x
    x = 83,149,525.36/10,511.94
  6. Step 6: Final answer
    x = 7,910.01

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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.