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Finding the Fourth Proportional to 7,288.92, 10,065.06 and 5,714.28

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Solution

The fourth proportional to 7,288.92, 10,065.06 and 5,714.28 is: 7,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.92 : 10,065.06 = 5,714.28 : x
  2. Step 2: Convert to fraction form
    7,288.92/10,065.06 = 5,714.28/x
  3. Step 3: Cross multiply
    7,288.92x = 10,065.06 × 5,714.28
  4. Step 4: Simplify right side
    7,288.92x = 57,514,571.06
  5. Step 5: Solve for x
    x = 57,514,571.06/7,288.92
  6. Step 6: Final answer
    x = 7,890.68

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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.