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Finding the Fourth Proportional to 7,817.64, 10,788.49 and 4,280.77

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Solution

The fourth proportional to 7,817.64, 10,788.49 and 4,280.77 is: 5,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.64 : 10,788.49 = 4,280.77 : x
  2. Step 2: Convert to fraction form
    7,817.64/10,788.49 = 4,280.77/x
  3. Step 3: Cross multiply
    7,817.64x = 10,788.49 × 4,280.77
  4. Step 4: Simplify right side
    7,817.64x = 46,183,044.34
  5. Step 5: Solve for x
    x = 46,183,044.34/7,817.64
  6. Step 6: Final answer
    x = 5,907.54

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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.