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Finding the Fourth Proportional to 11,814.34, 16,303.70 and 6,509.04

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Solution

The fourth proportional to 11,814.34, 16,303.70 and 6,509.04 is: 8,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.34 : 16,303.70 = 6,509.04 : x
  2. Step 2: Convert to fraction form
    11,814.34/16,303.70 = 6,509.04/x
  3. Step 3: Cross multiply
    11,814.34x = 16,303.70 × 6,509.04
  4. Step 4: Simplify right side
    11,814.34x = 106,121,435.45
  5. Step 5: Solve for x
    x = 106,121,435.45/11,814.34
  6. Step 6: Final answer
    x = 8,982.43

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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.