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Finding the Fourth Proportional to 7,893.14, 10,896.47 and 4,909.93

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Solution

The fourth proportional to 7,893.14, 10,896.47 and 4,909.93 is: 6,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.14 : 10,896.47 = 4,909.93 : x
  2. Step 2: Convert to fraction form
    7,893.14/10,896.47 = 4,909.93/x
  3. Step 3: Cross multiply
    7,893.14x = 10,896.47 × 4,909.93
  4. Step 4: Simplify right side
    7,893.14x = 53,500,853.16
  5. Step 5: Solve for x
    x = 53,500,853.16/7,893.14
  6. Step 6: Final answer
    x = 6,778.15

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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.