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Finding the Fourth Proportional to 10,672.76, 14,729.23 and 5,893.63

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Solution

The fourth proportional to 10,672.76, 14,729.23 and 5,893.63 is: 8,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.76 : 14,729.23 = 5,893.63 : x
  2. Step 2: Convert to fraction form
    10,672.76/14,729.23 = 5,893.63/x
  3. Step 3: Cross multiply
    10,672.76x = 14,729.23 × 5,893.63
  4. Step 4: Simplify right side
    10,672.76x = 86,808,580.25
  5. Step 5: Solve for x
    x = 86,808,580.25/10,672.76
  6. Step 6: Final answer
    x = 8,133.66

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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.