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Finding the Fourth Proportional to 7,833.45, 11,750.72 and 3,153.50

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Solution

The fourth proportional to 7,833.45, 11,750.72 and 3,153.50 is: 4,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.45 : 11,750.72 = 3,153.50 : x
  2. Step 2: Convert to fraction form
    7,833.45/11,750.72 = 3,153.50/x
  3. Step 3: Cross multiply
    7,833.45x = 11,750.72 × 3,153.50
  4. Step 4: Simplify right side
    7,833.45x = 37,055,895.52
  5. Step 5: Solve for x
    x = 37,055,895.52/7,833.45
  6. Step 6: Final answer
    x = 4,730.47

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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.