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Finding the Fourth Proportional to 10,299.95, 14,214.44 and 5,763.14

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Solution

The fourth proportional to 10,299.95, 14,214.44 and 5,763.14 is: 7,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.95 : 14,214.44 = 5,763.14 : x
  2. Step 2: Convert to fraction form
    10,299.95/14,214.44 = 5,763.14/x
  3. Step 3: Cross multiply
    10,299.95x = 14,214.44 × 5,763.14
  4. Step 4: Simplify right side
    10,299.95x = 81,919,751.08
  5. Step 5: Solve for x
    x = 81,919,751.08/10,299.95
  6. Step 6: Final answer
    x = 7,953.42

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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.