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Finding the Fourth Proportional to 10,528.73, 14,512.34 and 7,463.63

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Solution

The fourth proportional to 10,528.73, 14,512.34 and 7,463.63 is: 10,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.73 : 14,512.34 = 7,463.63 : x
  2. Step 2: Convert to fraction form
    10,528.73/14,512.34 = 7,463.63/x
  3. Step 3: Cross multiply
    10,528.73x = 14,512.34 × 7,463.63
  4. Step 4: Simplify right side
    10,528.73x = 108,314,682.29
  5. Step 5: Solve for x
    x = 108,314,682.29/10,528.73
  6. Step 6: Final answer
    x = 10,287.54

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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.