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Finding the Fourth Proportional to 7,788.53, 10,747.80 and 4,804.67

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Solution

The fourth proportional to 7,788.53, 10,747.80 and 4,804.67 is: 6,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.53 : 10,747.80 = 4,804.67 : x
  2. Step 2: Convert to fraction form
    7,788.53/10,747.80 = 4,804.67/x
  3. Step 3: Cross multiply
    7,788.53x = 10,747.80 × 4,804.67
  4. Step 4: Simplify right side
    7,788.53x = 51,639,578.49
  5. Step 5: Solve for x
    x = 51,639,578.49/7,788.53
  6. Step 6: Final answer
    x = 6,630.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.