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Finding the Fourth Proportional to 6,514.65, 8,992.26 and 4,499.10

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Solution

The fourth proportional to 6,514.65, 8,992.26 and 4,499.10 is: 6,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.65 : 8,992.26 = 4,499.10 : x
  2. Step 2: Convert to fraction form
    6,514.65/8,992.26 = 4,499.10/x
  3. Step 3: Cross multiply
    6,514.65x = 8,992.26 × 4,499.10
  4. Step 4: Simplify right side
    6,514.65x = 40,457,076.97
  5. Step 5: Solve for x
    x = 40,457,076.97/6,514.65
  6. Step 6: Final answer
    x = 6,210.17

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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.