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Finding the Fourth Proportional to 10,537.46, 14,541.33 and 5,822.02

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Solution

The fourth proportional to 10,537.46, 14,541.33 and 5,822.02 is: 8,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.46 : 14,541.33 = 5,822.02 : x
  2. Step 2: Convert to fraction form
    10,537.46/14,541.33 = 5,822.02/x
  3. Step 3: Cross multiply
    10,537.46x = 14,541.33 × 5,822.02
  4. Step 4: Simplify right side
    10,537.46x = 84,659,914.09
  5. Step 5: Solve for x
    x = 84,659,914.09/10,537.46
  6. Step 6: Final answer
    x = 8,034.19

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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.