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Finding the Fourth Proportional to 7,959.63, 11,941.47 and 4,675.50

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Solution

The fourth proportional to 7,959.63, 11,941.47 and 4,675.50 is: 7,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.63 : 11,941.47 = 4,675.50 : x
  2. Step 2: Convert to fraction form
    7,959.63/11,941.47 = 4,675.50/x
  3. Step 3: Cross multiply
    7,959.63x = 11,941.47 × 4,675.50
  4. Step 4: Simplify right side
    7,959.63x = 55,832,342.99
  5. Step 5: Solve for x
    x = 55,832,342.99/7,959.63
  6. Step 6: Final answer
    x = 7,014.44

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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.