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Finding the Fourth Proportional to 10,367.68, 14,307.72 and 5,652.28

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Solution

The fourth proportional to 10,367.68, 14,307.72 and 5,652.28 is: 7,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.68 : 14,307.72 = 5,652.28 : x
  2. Step 2: Convert to fraction form
    10,367.68/14,307.72 = 5,652.28/x
  3. Step 3: Cross multiply
    10,367.68x = 14,307.72 × 5,652.28
  4. Step 4: Simplify right side
    10,367.68x = 80,871,239.60
  5. Step 5: Solve for x
    x = 80,871,239.60/10,367.68
  6. Step 6: Final answer
    x = 7,800.32

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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.