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Finding the Fourth Proportional to 10,384.70, 15,585.33 and 5,457.23

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Solution

The fourth proportional to 10,384.70, 15,585.33 and 5,457.23 is: 8,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.70 : 15,585.33 = 5,457.23 : x
  2. Step 2: Convert to fraction form
    10,384.70/15,585.33 = 5,457.23/x
  3. Step 3: Cross multiply
    10,384.70x = 15,585.33 × 5,457.23
  4. Step 4: Simplify right side
    10,384.70x = 85,052,730.44
  5. Step 5: Solve for x
    x = 85,052,730.44/10,384.70
  6. Step 6: Final answer
    x = 8,190.20

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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.