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Finding the Fourth Proportional to 7,855.54, 10,830.58 and 6,433.99

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Solution

The fourth proportional to 7,855.54, 10,830.58 and 6,433.99 is: 8,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.54 : 10,830.58 = 6,433.99 : x
  2. Step 2: Convert to fraction form
    7,855.54/10,830.58 = 6,433.99/x
  3. Step 3: Cross multiply
    7,855.54x = 10,830.58 × 6,433.99
  4. Step 4: Simplify right side
    7,855.54x = 69,683,843.41
  5. Step 5: Solve for x
    x = 69,683,843.41/7,855.54
  6. Step 6: Final answer
    x = 8,870.66

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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.