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Finding the Fourth Proportional to 10,632.47, 14,672.43 and 5,852.39

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Solution

The fourth proportional to 10,632.47, 14,672.43 and 5,852.39 is: 8,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.47 : 14,672.43 = 5,852.39 : x
  2. Step 2: Convert to fraction form
    10,632.47/14,672.43 = 5,852.39/x
  3. Step 3: Cross multiply
    10,632.47x = 14,672.43 × 5,852.39
  4. Step 4: Simplify right side
    10,632.47x = 85,868,709.25
  5. Step 5: Solve for x
    x = 85,868,709.25/10,632.47
  6. Step 6: Final answer
    x = 8,076.09

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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.