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Finding the Fourth Proportional to 11,532.96, 15,912.54 and 7,055.08

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Solution

The fourth proportional to 11,532.96, 15,912.54 and 7,055.08 is: 9,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.96 : 15,912.54 = 7,055.08 : x
  2. Step 2: Convert to fraction form
    11,532.96/15,912.54 = 7,055.08/x
  3. Step 3: Cross multiply
    11,532.96x = 15,912.54 × 7,055.08
  4. Step 4: Simplify right side
    11,532.96x = 112,264,202.92
  5. Step 5: Solve for x
    x = 112,264,202.92/11,532.96
  6. Step 6: Final answer
    x = 9,734.21

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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.