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Finding the Fourth Proportional to 7,111.52, 9,814.28 and 3,967.68

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Solution

The fourth proportional to 7,111.52, 9,814.28 and 3,967.68 is: 5,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.52 : 9,814.28 = 3,967.68 : x
  2. Step 2: Convert to fraction form
    7,111.52/9,814.28 = 3,967.68/x
  3. Step 3: Cross multiply
    7,111.52x = 9,814.28 × 3,967.68
  4. Step 4: Simplify right side
    7,111.52x = 38,939,922.47
  5. Step 5: Solve for x
    x = 38,939,922.47/7,111.52
  6. Step 6: Final answer
    x = 5,475.61

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