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Finding the Fourth Proportional to 6,511.52, 9,768.64 and 2,128.63

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Solution

The fourth proportional to 6,511.52, 9,768.64 and 2,128.63 is: 3,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.52 : 9,768.64 = 2,128.63 : x
  2. Step 2: Convert to fraction form
    6,511.52/9,768.64 = 2,128.63/x
  3. Step 3: Cross multiply
    6,511.52x = 9,768.64 × 2,128.63
  4. Step 4: Simplify right side
    6,511.52x = 20,793,798.40
  5. Step 5: Solve for x
    x = 20,793,798.40/6,511.52
  6. Step 6: Final answer
    x = 3,193.39

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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.