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Finding the Fourth Proportional to 8,206.51, 12,307.26 and 5,395.23

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Solution

The fourth proportional to 8,206.51, 12,307.26 and 5,395.23 is: 8,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.51 : 12,307.26 = 5,395.23 : x
  2. Step 2: Convert to fraction form
    8,206.51/12,307.26 = 5,395.23/x
  3. Step 3: Cross multiply
    8,206.51x = 12,307.26 × 5,395.23
  4. Step 4: Simplify right side
    8,206.51x = 66,400,409.86
  5. Step 5: Solve for x
    x = 66,400,409.86/8,206.51
  6. Step 6: Final answer
    x = 8,091.19

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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.