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Finding the Fourth Proportional to 13,103.70, 18,084.60 and 7,798.53

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Solution

The fourth proportional to 13,103.70, 18,084.60 and 7,798.53 is: 10,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.70 : 18,084.60 = 7,798.53 : x
  2. Step 2: Convert to fraction form
    13,103.70/18,084.60 = 7,798.53/x
  3. Step 3: Cross multiply
    13,103.70x = 18,084.60 × 7,798.53
  4. Step 4: Simplify right side
    13,103.70x = 141,033,295.64
  5. Step 5: Solve for x
    x = 141,033,295.64/13,103.70
  6. Step 6: Final answer
    x = 10,762.86

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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.