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Finding the Fourth Proportional to 10,103.60, 13,940.16 and 6,069.36

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Solution

The fourth proportional to 10,103.60, 13,940.16 and 6,069.36 is: 8,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.60 : 13,940.16 = 6,069.36 : x
  2. Step 2: Convert to fraction form
    10,103.60/13,940.16 = 6,069.36/x
  3. Step 3: Cross multiply
    10,103.60x = 13,940.16 × 6,069.36
  4. Step 4: Simplify right side
    10,103.60x = 84,607,849.50
  5. Step 5: Solve for x
    x = 84,607,849.50/10,103.60
  6. Step 6: Final answer
    x = 8,374.03

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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.