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Finding the Fourth Proportional to 7,971.68, 11,959.52 and 4,687.52

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Solution

The fourth proportional to 7,971.68, 11,959.52 and 4,687.52 is: 7,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.68 : 11,959.52 = 4,687.52 : x
  2. Step 2: Convert to fraction form
    7,971.68/11,959.52 = 4,687.52/x
  3. Step 3: Cross multiply
    7,971.68x = 11,959.52 × 4,687.52
  4. Step 4: Simplify right side
    7,971.68x = 56,060,489.19
  5. Step 5: Solve for x
    x = 56,060,489.19/7,971.68
  6. Step 6: Final answer
    x = 7,032.46

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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.