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Finding the Fourth Proportional to 10,672.30, 14,728.58 and 5,893.16

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Solution

The fourth proportional to 10,672.30, 14,728.58 and 5,893.16 is: 8,133.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.30 : 14,728.58 = 5,893.16 : x
  2. Step 2: Convert to fraction form
    10,672.30/14,728.58 = 5,893.16/x
  3. Step 3: Cross multiply
    10,672.30x = 14,728.58 × 5,893.16
  4. Step 4: Simplify right side
    10,672.30x = 86,797,819.60
  5. Step 5: Solve for x
    x = 86,797,819.60/10,672.30
  6. Step 6: Final answer
    x = 8,133.00

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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.