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Finding the Fourth Proportional to 7,615.19, 11,409.71 and 6,844.81

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Solution

The fourth proportional to 7,615.19, 11,409.71 and 6,844.81 is: 10,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.19 : 11,409.71 = 6,844.81 : x
  2. Step 2: Convert to fraction form
    7,615.19/11,409.71 = 6,844.81/x
  3. Step 3: Cross multiply
    7,615.19x = 11,409.71 × 6,844.81
  4. Step 4: Simplify right side
    7,615.19x = 78,097,297.11
  5. Step 5: Solve for x
    x = 78,097,297.11/7,615.19
  6. Step 6: Final answer
    x = 10,255.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.