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Finding the Fourth Proportional to 7,689.20, 11,523.16 and 4,395.34

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Solution

The fourth proportional to 7,689.20, 11,523.16 and 4,395.34 is: 6,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.20 : 11,523.16 = 4,395.34 : x
  2. Step 2: Convert to fraction form
    7,689.20/11,523.16 = 4,395.34/x
  3. Step 3: Cross multiply
    7,689.20x = 11,523.16 × 4,395.34
  4. Step 4: Simplify right side
    7,689.20x = 50,648,206.07
  5. Step 5: Solve for x
    x = 50,648,206.07/7,689.20
  6. Step 6: Final answer
    x = 6,586.93

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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.