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Finding the Fourth Proportional to 10,055.97, 13,880.03 and 5,865.03

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Solution

The fourth proportional to 10,055.97, 13,880.03 and 5,865.03 is: 8,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.97 : 13,880.03 = 5,865.03 : x
  2. Step 2: Convert to fraction form
    10,055.97/13,880.03 = 5,865.03/x
  3. Step 3: Cross multiply
    10,055.97x = 13,880.03 × 5,865.03
  4. Step 4: Simplify right side
    10,055.97x = 81,406,763.03
  5. Step 5: Solve for x
    x = 81,406,763.03/10,055.97
  6. Step 6: Final answer
    x = 8,095.37

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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.