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Finding the Fourth Proportional to 8,434.68, 11,643.08 and 7,548.88

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Solution

The fourth proportional to 8,434.68, 11,643.08 and 7,548.88 is: 10,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.68 : 11,643.08 = 7,548.88 : x
  2. Step 2: Convert to fraction form
    8,434.68/11,643.08 = 7,548.88/x
  3. Step 3: Cross multiply
    8,434.68x = 11,643.08 × 7,548.88
  4. Step 4: Simplify right side
    8,434.68x = 87,892,213.75
  5. Step 5: Solve for x
    x = 87,892,213.75/8,434.68
  6. Step 6: Final answer
    x = 10,420.34

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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.