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Finding the Fourth Proportional to 7,855.29, 10,830.20 and 6,433.74

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Solution

The fourth proportional to 7,855.29, 10,830.20 and 6,433.74 is: 8,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.29 : 10,830.20 = 6,433.74 : x
  2. Step 2: Convert to fraction form
    7,855.29/10,830.20 = 6,433.74/x
  3. Step 3: Cross multiply
    7,855.29x = 10,830.20 × 6,433.74
  4. Step 4: Simplify right side
    7,855.29x = 69,678,658.78
  5. Step 5: Solve for x
    x = 69,678,658.78/7,855.29
  6. Step 6: Final answer
    x = 8,870.28

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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.