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Finding the Fourth Proportional to 7,259.12, 10,893.24 and 2,642

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Solution

The fourth proportional to 7,259.12, 10,893.24 and 2,642 is: 3,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.12 : 10,893.24 = 2,642 : x
  2. Step 2: Convert to fraction form
    7,259.12/10,893.24 = 2,642/x
  3. Step 3: Cross multiply
    7,259.12x = 10,893.24 × 2,642
  4. Step 4: Simplify right side
    7,259.12x = 28,779,940.08
  5. Step 5: Solve for x
    x = 28,779,940.08/7,259.12
  6. Step 6: Final answer
    x = 3,964.66

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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.