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Finding the Fourth Proportional to 6,323.74, 8,725.53 and 5,383.06

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Solution

The fourth proportional to 6,323.74, 8,725.53 and 5,383.06 is: 7,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.74 : 8,725.53 = 5,383.06 : x
  2. Step 2: Convert to fraction form
    6,323.74/8,725.53 = 5,383.06/x
  3. Step 3: Cross multiply
    6,323.74x = 8,725.53 × 5,383.06
  4. Step 4: Simplify right side
    6,323.74x = 46,970,051.52
  5. Step 5: Solve for x
    x = 46,970,051.52/6,323.74
  6. Step 6: Final answer
    x = 7,427.57

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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.