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Finding the Fourth Proportional to 10,884.36, 15,015.94 and 7,106.22

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Solution

The fourth proportional to 10,884.36, 15,015.94 and 7,106.22 is: 9,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.36 : 15,015.94 = 7,106.22 : x
  2. Step 2: Convert to fraction form
    10,884.36/15,015.94 = 7,106.22/x
  3. Step 3: Cross multiply
    10,884.36x = 15,015.94 × 7,106.22
  4. Step 4: Simplify right side
    10,884.36x = 106,706,573.15
  5. Step 5: Solve for x
    x = 106,706,573.15/10,884.36
  6. Step 6: Final answer
    x = 9,803.66

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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.