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Finding the Fourth Proportional to 10,584.37, 14,606.82 and 6,108.71

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Solution

The fourth proportional to 10,584.37, 14,606.82 and 6,108.71 is: 8,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.37 : 14,606.82 = 6,108.71 : x
  2. Step 2: Convert to fraction form
    10,584.37/14,606.82 = 6,108.71/x
  3. Step 3: Cross multiply
    10,584.37x = 14,606.82 × 6,108.71
  4. Step 4: Simplify right side
    10,584.37x = 89,228,796.86
  5. Step 5: Solve for x
    x = 89,228,796.86/10,584.37
  6. Step 6: Final answer
    x = 8,430.25

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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.