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Finding the Fourth Proportional to 11,849.32, 17,778.30 and 6,303.16

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Solution

The fourth proportional to 11,849.32, 17,778.30 and 6,303.16 is: 9,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.32 : 17,778.30 = 6,303.16 : x
  2. Step 2: Convert to fraction form
    11,849.32/17,778.30 = 6,303.16/x
  3. Step 3: Cross multiply
    11,849.32x = 17,778.30 × 6,303.16
  4. Step 4: Simplify right side
    11,849.32x = 112,059,469.43
  5. Step 5: Solve for x
    x = 112,059,469.43/11,849.32
  6. Step 6: Final answer
    x = 9,457.04

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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.