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Finding the Fourth Proportional to 10,827.56, 14,942.04 and 6,047.48

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Solution

The fourth proportional to 10,827.56, 14,942.04 and 6,047.48 is: 8,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.56 : 14,942.04 = 6,047.48 : x
  2. Step 2: Convert to fraction form
    10,827.56/14,942.04 = 6,047.48/x
  3. Step 3: Cross multiply
    10,827.56x = 14,942.04 × 6,047.48
  4. Step 4: Simplify right side
    10,827.56x = 90,361,688.06
  5. Step 5: Solve for x
    x = 90,361,688.06/10,827.56
  6. Step 6: Final answer
    x = 8,345.53

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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.