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Finding the Fourth Proportional to 11,384.46, 17,072.37 and 6,457.50

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Solution

The fourth proportional to 11,384.46, 17,072.37 and 6,457.50 is: 9,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.46 : 17,072.37 = 6,457.50 : x
  2. Step 2: Convert to fraction form
    11,384.46/17,072.37 = 6,457.50/x
  3. Step 3: Cross multiply
    11,384.46x = 17,072.37 × 6,457.50
  4. Step 4: Simplify right side
    11,384.46x = 110,244,829.28
  5. Step 5: Solve for x
    x = 110,244,829.28/11,384.46
  6. Step 6: Final answer
    x = 9,683.80

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Why These Related Problems?

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