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Finding the Fourth Proportional to 7,608.16, 11,407.92 and 4,532.32

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Solution

The fourth proportional to 7,608.16, 11,407.92 and 4,532.32 is: 6,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.16 : 11,407.92 = 4,532.32 : x
  2. Step 2: Convert to fraction form
    7,608.16/11,407.92 = 4,532.32/x
  3. Step 3: Cross multiply
    7,608.16x = 11,407.92 × 4,532.32
  4. Step 4: Simplify right side
    7,608.16x = 51,704,343.97
  5. Step 5: Solve for x
    x = 51,704,343.97/7,608.16
  6. Step 6: Final answer
    x = 6,795.91

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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.