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Finding the Fourth Proportional to 10,571.96, 14,588.91 and 6,095.90

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Solution

The fourth proportional to 10,571.96, 14,588.91 and 6,095.90 is: 8,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.96 : 14,588.91 = 6,095.90 : x
  2. Step 2: Convert to fraction form
    10,571.96/14,588.91 = 6,095.90/x
  3. Step 3: Cross multiply
    10,571.96x = 14,588.91 × 6,095.90
  4. Step 4: Simplify right side
    10,571.96x = 88,932,572.94
  5. Step 5: Solve for x
    x = 88,932,572.94/10,571.96
  6. Step 6: Final answer
    x = 8,412.12

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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.