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Finding the Fourth Proportional to 11,395.68, 15,704.32 and 7,852.48

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Solution

The fourth proportional to 11,395.68, 15,704.32 and 7,852.48 is: 10,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.68 : 15,704.32 = 7,852.48 : x
  2. Step 2: Convert to fraction form
    11,395.68/15,704.32 = 7,852.48/x
  3. Step 3: Cross multiply
    11,395.68x = 15,704.32 × 7,852.48
  4. Step 4: Simplify right side
    11,395.68x = 123,317,858.71
  5. Step 5: Solve for x
    x = 123,317,858.71/11,395.68
  6. Step 6: Final answer
    x = 10,821.46

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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.