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Finding the Fourth Proportional to 7,548.44, 10,416.70 and 4,191.18

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Solution

The fourth proportional to 7,548.44, 10,416.70 and 4,191.18 is: 5,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.44 : 10,416.70 = 4,191.18 : x
  2. Step 2: Convert to fraction form
    7,548.44/10,416.70 = 4,191.18/x
  3. Step 3: Cross multiply
    7,548.44x = 10,416.70 × 4,191.18
  4. Step 4: Simplify right side
    7,548.44x = 43,658,230.88
  5. Step 5: Solve for x
    x = 43,658,230.88/7,548.44
  6. Step 6: Final answer
    x = 5,783.75

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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.