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Finding the Fourth Proportional to 10,367.60, 14,307.27 and 5,651.87

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Solution

The fourth proportional to 10,367.60, 14,307.27 and 5,651.87 is: 7,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.60 : 14,307.27 = 5,651.87 : x
  2. Step 2: Convert to fraction form
    10,367.60/14,307.27 = 5,651.87/x
  3. Step 3: Cross multiply
    10,367.60x = 14,307.27 × 5,651.87
  4. Step 4: Simplify right side
    10,367.60x = 80,862,830.09
  5. Step 5: Solve for x
    x = 80,862,830.09/10,367.60
  6. Step 6: Final answer
    x = 7,799.57

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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.