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Finding the Fourth Proportional to 10,543, 14,548.08 and 5,826.64

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Solution

The fourth proportional to 10,543, 14,548.08 and 5,826.64 is: 8,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543 : 14,548.08 = 5,826.64 : x
  2. Step 2: Convert to fraction form
    10,543/14,548.08 = 5,826.64/x
  3. Step 3: Cross multiply
    10,543x = 14,548.08 × 5,826.64
  4. Step 4: Simplify right side
    10,543x = 84,766,424.85
  5. Step 5: Solve for x
    x = 84,766,424.85/10,543
  6. Step 6: Final answer
    x = 8,040.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.