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Finding the Fourth Proportional to 10,861.04, 16,288.80 and 4,617.60

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Solution

The fourth proportional to 10,861.04, 16,288.80 and 4,617.60 is: 6,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.04 : 16,288.80 = 4,617.60 : x
  2. Step 2: Convert to fraction form
    10,861.04/16,288.80 = 4,617.60/x
  3. Step 3: Cross multiply
    10,861.04x = 16,288.80 × 4,617.60
  4. Step 4: Simplify right side
    10,861.04x = 75,215,162.88
  5. Step 5: Solve for x
    x = 75,215,162.88/10,861.04
  6. Step 6: Final answer
    x = 6,925.23

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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.