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Finding the Fourth Proportional to 7,125.41, 10,690.42 and 3,427.16

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Solution

The fourth proportional to 7,125.41, 10,690.42 and 3,427.16 is: 5,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.41 : 10,690.42 = 3,427.16 : x
  2. Step 2: Convert to fraction form
    7,125.41/10,690.42 = 3,427.16/x
  3. Step 3: Cross multiply
    7,125.41x = 10,690.42 × 3,427.16
  4. Step 4: Simplify right side
    7,125.41x = 36,637,714.57
  5. Step 5: Solve for x
    x = 36,637,714.57/7,125.41
  6. Step 6: Final answer
    x = 5,141.84

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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.