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Finding the Fourth Proportional to 10,733.82, 14,813.58 and 6,019.01

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Solution

The fourth proportional to 10,733.82, 14,813.58 and 6,019.01 is: 8,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.82 : 14,813.58 = 6,019.01 : x
  2. Step 2: Convert to fraction form
    10,733.82/14,813.58 = 6,019.01/x
  3. Step 3: Cross multiply
    10,733.82x = 14,813.58 × 6,019.01
  4. Step 4: Simplify right side
    10,733.82x = 89,163,012.09
  5. Step 5: Solve for x
    x = 89,163,012.09/10,733.82
  6. Step 6: Final answer
    x = 8,306.74

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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.