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Finding the Fourth Proportional to 6,514.56, 8,981.28 and 4,415.04

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Solution

The fourth proportional to 6,514.56, 8,981.28 and 4,415.04 is: 6,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.56 : 8,981.28 = 4,415.04 : x
  2. Step 2: Convert to fraction form
    6,514.56/8,981.28 = 4,415.04/x
  3. Step 3: Cross multiply
    6,514.56x = 8,981.28 × 4,415.04
  4. Step 4: Simplify right side
    6,514.56x = 39,652,710.45
  5. Step 5: Solve for x
    x = 39,652,710.45/6,514.56
  6. Step 6: Final answer
    x = 6,086.78

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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.