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Finding the Fourth Proportional to 10,612.58, 14,645.82 and 5,896.86

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Solution

The fourth proportional to 10,612.58, 14,645.82 and 5,896.86 is: 8,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.58 : 14,645.82 = 5,896.86 : x
  2. Step 2: Convert to fraction form
    10,612.58/14,645.82 = 5,896.86/x
  3. Step 3: Cross multiply
    10,612.58x = 14,645.82 × 5,896.86
  4. Step 4: Simplify right side
    10,612.58x = 86,364,350.13
  5. Step 5: Solve for x
    x = 86,364,350.13/10,612.58
  6. Step 6: Final answer
    x = 8,137.92

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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.