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Finding the Fourth Proportional to 10,645.96, 14,690.10 and 5,929.96

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Solution

The fourth proportional to 10,645.96, 14,690.10 and 5,929.96 is: 8,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.96 : 14,690.10 = 5,929.96 : x
  2. Step 2: Convert to fraction form
    10,645.96/14,690.10 = 5,929.96/x
  3. Step 3: Cross multiply
    10,645.96x = 14,690.10 × 5,929.96
  4. Step 4: Simplify right side
    10,645.96x = 87,111,705.40
  5. Step 5: Solve for x
    x = 87,111,705.40/10,645.96
  6. Step 6: Final answer
    x = 8,182.61

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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.