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Finding the Fourth Proportional to 10,645.44, 14,690.86 and 6,169.50

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Solution

The fourth proportional to 10,645.44, 14,690.86 and 6,169.50 is: 8,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.44 : 14,690.86 = 6,169.50 : x
  2. Step 2: Convert to fraction form
    10,645.44/14,690.86 = 6,169.50/x
  3. Step 3: Cross multiply
    10,645.44x = 14,690.86 × 6,169.50
  4. Step 4: Simplify right side
    10,645.44x = 90,635,260.77
  5. Step 5: Solve for x
    x = 90,635,260.77/10,645.44
  6. Step 6: Final answer
    x = 8,514.00

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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.