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Finding the Fourth Proportional to 6,886.74, 10,283.42 and 5,409.30

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Solution

The fourth proportional to 6,886.74, 10,283.42 and 5,409.30 is: 8,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.74 : 10,283.42 = 5,409.30 : x
  2. Step 2: Convert to fraction form
    6,886.74/10,283.42 = 5,409.30/x
  3. Step 3: Cross multiply
    6,886.74x = 10,283.42 × 5,409.30
  4. Step 4: Simplify right side
    6,886.74x = 55,626,076.76
  5. Step 5: Solve for x
    x = 55,626,076.76/6,886.74
  6. Step 6: Final answer
    x = 8,077.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.