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Finding the Fourth Proportional to 10,367.47, 14,307.11 and 5,652.05

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Solution

The fourth proportional to 10,367.47, 14,307.11 and 5,652.05 is: 7,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.47 : 14,307.11 = 5,652.05 : x
  2. Step 2: Convert to fraction form
    10,367.47/14,307.11 = 5,652.05/x
  3. Step 3: Cross multiply
    10,367.47x = 14,307.11 × 5,652.05
  4. Step 4: Simplify right side
    10,367.47x = 80,864,501.08
  5. Step 5: Solve for x
    x = 80,864,501.08/10,367.47
  6. Step 6: Final answer
    x = 7,799.83

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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.