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Finding the Fourth Proportional to 7,548.50, 10,415.82 and 4,191.34

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Solution

The fourth proportional to 7,548.50, 10,415.82 and 4,191.34 is: 5,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.50 : 10,415.82 = 4,191.34 : x
  2. Step 2: Convert to fraction form
    7,548.50/10,415.82 = 4,191.34/x
  3. Step 3: Cross multiply
    7,548.50x = 10,415.82 × 4,191.34
  4. Step 4: Simplify right side
    7,548.50x = 43,656,248.16
  5. Step 5: Solve for x
    x = 43,656,248.16/7,548.50
  6. Step 6: Final answer
    x = 5,783.43

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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.