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Finding the Fourth Proportional to 10,957.80, 16,436.70 and 7,847.40

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Solution

The fourth proportional to 10,957.80, 16,436.70 and 7,847.40 is: 11,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.80 : 16,436.70 = 7,847.40 : x
  2. Step 2: Convert to fraction form
    10,957.80/16,436.70 = 7,847.40/x
  3. Step 3: Cross multiply
    10,957.80x = 16,436.70 × 7,847.40
  4. Step 4: Simplify right side
    10,957.80x = 128,985,359.58
  5. Step 5: Solve for x
    x = 128,985,359.58/10,957.80
  6. Step 6: Final answer
    x = 11,771.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.