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Finding the Fourth Proportional to 10,840.02, 16,259.94 and 5,576.50

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Solution

The fourth proportional to 10,840.02, 16,259.94 and 5,576.50 is: 8,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.02 : 16,259.94 = 5,576.50 : x
  2. Step 2: Convert to fraction form
    10,840.02/16,259.94 = 5,576.50/x
  3. Step 3: Cross multiply
    10,840.02x = 16,259.94 × 5,576.50
  4. Step 4: Simplify right side
    10,840.02x = 90,673,555.41
  5. Step 5: Solve for x
    x = 90,673,555.41/10,840.02
  6. Step 6: Final answer
    x = 8,364.70

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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.