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Finding the Fourth Proportional to 10,849.60, 16,283.62 and 7,737.24

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Solution

The fourth proportional to 10,849.60, 16,283.62 and 7,737.24 is: 11,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.60 : 16,283.62 = 7,737.24 : x
  2. Step 2: Convert to fraction form
    10,849.60/16,283.62 = 7,737.24/x
  3. Step 3: Cross multiply
    10,849.60x = 16,283.62 × 7,737.24
  4. Step 4: Simplify right side
    10,849.60x = 125,990,276.01
  5. Step 5: Solve for x
    x = 125,990,276.01/10,849.60
  6. Step 6: Final answer
    x = 11,612.44

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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.