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Finding the Fourth Proportional to 6,096.60, 8,412.51 and 3,407.16

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Solution

The fourth proportional to 6,096.60, 8,412.51 and 3,407.16 is: 4,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.60 : 8,412.51 = 3,407.16 : x
  2. Step 2: Convert to fraction form
    6,096.60/8,412.51 = 3,407.16/x
  3. Step 3: Cross multiply
    6,096.60x = 8,412.51 × 3,407.16
  4. Step 4: Simplify right side
    6,096.60x = 28,662,767.57
  5. Step 5: Solve for x
    x = 28,662,767.57/6,096.60
  6. Step 6: Final answer
    x = 4,701.43

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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.