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Finding the Fourth Proportional to 7,737.32, 11,594.63 and 4,806.74

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Solution

The fourth proportional to 7,737.32, 11,594.63 and 4,806.74 is: 7,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.32 : 11,594.63 = 4,806.74 : x
  2. Step 2: Convert to fraction form
    7,737.32/11,594.63 = 4,806.74/x
  3. Step 3: Cross multiply
    7,737.32x = 11,594.63 × 4,806.74
  4. Step 4: Simplify right side
    7,737.32x = 55,732,325.85
  5. Step 5: Solve for x
    x = 55,732,325.85/7,737.32
  6. Step 6: Final answer
    x = 7,203.06

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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.