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Finding the Fourth Proportional to 13,084.94, 18,057 and 7,779.98

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Solution

The fourth proportional to 13,084.94, 18,057 and 7,779.98 is: 10,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.94 : 18,057 = 7,779.98 : x
  2. Step 2: Convert to fraction form
    13,084.94/18,057 = 7,779.98/x
  3. Step 3: Cross multiply
    13,084.94x = 18,057 × 7,779.98
  4. Step 4: Simplify right side
    13,084.94x = 140,483,098.86
  5. Step 5: Solve for x
    x = 140,483,098.86/13,084.94
  6. Step 6: Final answer
    x = 10,736.24

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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.