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Finding the Fourth Proportional to 10,855.86, 16,280.01 and 4,615.62

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Solution

The fourth proportional to 10,855.86, 16,280.01 and 4,615.62 is: 6,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.86 : 16,280.01 = 4,615.62 : x
  2. Step 2: Convert to fraction form
    10,855.86/16,280.01 = 4,615.62/x
  3. Step 3: Cross multiply
    10,855.86x = 16,280.01 × 4,615.62
  4. Step 4: Simplify right side
    10,855.86x = 75,142,339.76
  5. Step 5: Solve for x
    x = 75,142,339.76/10,855.86
  6. Step 6: Final answer
    x = 6,921.82

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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.