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Finding the Fourth Proportional to 8,283.95, 11,428.09 and 4,924.86

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Solution

The fourth proportional to 8,283.95, 11,428.09 and 4,924.86 is: 6,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.95 : 11,428.09 = 4,924.86 : x
  2. Step 2: Convert to fraction form
    8,283.95/11,428.09 = 4,924.86/x
  3. Step 3: Cross multiply
    8,283.95x = 11,428.09 × 4,924.86
  4. Step 4: Simplify right side
    8,283.95x = 56,281,743.32
  5. Step 5: Solve for x
    x = 56,281,743.32/8,283.95
  6. Step 6: Final answer
    x = 6,794.07

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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.