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Finding the Fourth Proportional to 10,229.37, 15,330.06 and 7,728.51

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Solution

The fourth proportional to 10,229.37, 15,330.06 and 7,728.51 is: 11,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.37 : 15,330.06 = 7,728.51 : x
  2. Step 2: Convert to fraction form
    10,229.37/15,330.06 = 7,728.51/x
  3. Step 3: Cross multiply
    10,229.37x = 15,330.06 × 7,728.51
  4. Step 4: Simplify right side
    10,229.37x = 118,478,471.89
  5. Step 5: Solve for x
    x = 118,478,471.89/10,229.37
  6. Step 6: Final answer
    x = 11,582.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.