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Finding the Fourth Proportional to 7,596.16, 11,401.36 and 4,680.16

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Solution

The fourth proportional to 7,596.16, 11,401.36 and 4,680.16 is: 7,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.16 : 11,401.36 = 4,680.16 : x
  2. Step 2: Convert to fraction form
    7,596.16/11,401.36 = 4,680.16/x
  3. Step 3: Cross multiply
    7,596.16x = 11,401.36 × 4,680.16
  4. Step 4: Simplify right side
    7,596.16x = 53,360,189.02
  5. Step 5: Solve for x
    x = 53,360,189.02/7,596.16
  6. Step 6: Final answer
    x = 7,024.63

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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.