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Finding the Fourth Proportional to 7,548.05, 10,415.82 and 4,190.87

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Solution

The fourth proportional to 7,548.05, 10,415.82 and 4,190.87 is: 5,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.05 : 10,415.82 = 4,190.87 : x
  2. Step 2: Convert to fraction form
    7,548.05/10,415.82 = 4,190.87/x
  3. Step 3: Cross multiply
    7,548.05x = 10,415.82 × 4,190.87
  4. Step 4: Simplify right side
    7,548.05x = 43,651,389.32
  5. Step 5: Solve for x
    x = 43,651,389.32/7,548.05
  6. Step 6: Final answer
    x = 5,783.13

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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.