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Finding the Fourth Proportional to 7,817.85, 10,788.58 and 4,280.98

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Solution

The fourth proportional to 7,817.85, 10,788.58 and 4,280.98 is: 5,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.85 : 10,788.58 = 4,280.98 : x
  2. Step 2: Convert to fraction form
    7,817.85/10,788.58 = 4,280.98/x
  3. Step 3: Cross multiply
    7,817.85x = 10,788.58 × 4,280.98
  4. Step 4: Simplify right side
    7,817.85x = 46,185,695.21
  5. Step 5: Solve for x
    x = 46,185,695.21/7,817.85
  6. Step 6: Final answer
    x = 5,907.72

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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.