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Finding the Fourth Proportional to 10,584.42, 14,602.86 and 6,108.09

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Solution

The fourth proportional to 10,584.42, 14,602.86 and 6,108.09 is: 8,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.42 : 14,602.86 = 6,108.09 : x
  2. Step 2: Convert to fraction form
    10,584.42/14,602.86 = 6,108.09/x
  3. Step 3: Cross multiply
    10,584.42x = 14,602.86 × 6,108.09
  4. Step 4: Simplify right side
    10,584.42x = 89,195,583.14
  5. Step 5: Solve for x
    x = 89,195,583.14/10,584.42
  6. Step 6: Final answer
    x = 8,427.06

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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.