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Finding the Fourth Proportional to 8,341.96, 12,514.86 and 2,499.16

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Solution

The fourth proportional to 8,341.96, 12,514.86 and 2,499.16 is: 3,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.96 : 12,514.86 = 2,499.16 : x
  2. Step 2: Convert to fraction form
    8,341.96/12,514.86 = 2,499.16/x
  3. Step 3: Cross multiply
    8,341.96x = 12,514.86 × 2,499.16
  4. Step 4: Simplify right side
    8,341.96x = 31,276,637.52
  5. Step 5: Solve for x
    x = 31,276,637.52/8,341.96
  6. Step 6: Final answer
    x = 3,749.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.