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Finding the Fourth Proportional to 7,412.10, 11,108.55 and 6,548.10

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Solution

The fourth proportional to 7,412.10, 11,108.55 and 6,548.10 is: 9,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.10 : 11,108.55 = 6,548.10 : x
  2. Step 2: Convert to fraction form
    7,412.10/11,108.55 = 6,548.10/x
  3. Step 3: Cross multiply
    7,412.10x = 11,108.55 × 6,548.10
  4. Step 4: Simplify right side
    7,412.10x = 72,739,896.26
  5. Step 5: Solve for x
    x = 72,739,896.26/7,412.10
  6. Step 6: Final answer
    x = 9,813.67

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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.