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Finding the Fourth Proportional to 10,367.70, 14,307.36 and 5,652.02

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Solution

The fourth proportional to 10,367.70, 14,307.36 and 5,652.02 is: 7,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.70 : 14,307.36 = 5,652.02 : x
  2. Step 2: Convert to fraction form
    10,367.70/14,307.36 = 5,652.02/x
  3. Step 3: Cross multiply
    10,367.70x = 14,307.36 × 5,652.02
  4. Step 4: Simplify right side
    10,367.70x = 80,865,484.87
  5. Step 5: Solve for x
    x = 80,865,484.87/10,367.70
  6. Step 6: Final answer
    x = 7,799.75

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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.