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Finding the Fourth Proportional to 10,367.56, 14,307.06 and 5,651.56

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Solution

The fourth proportional to 10,367.56, 14,307.06 and 5,651.56 is: 7,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.56 : 14,307.06 = 5,651.56 : x
  2. Step 2: Convert to fraction form
    10,367.56/14,307.06 = 5,651.56/x
  3. Step 3: Cross multiply
    10,367.56x = 14,307.06 × 5,651.56
  4. Step 4: Simplify right side
    10,367.56x = 80,857,208.01
  5. Step 5: Solve for x
    x = 80,857,208.01/10,367.56
  6. Step 6: Final answer
    x = 7,799.06

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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.