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Finding the Fourth Proportional to 11,814.54, 16,302.42 and 6,509.22

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Solution

The fourth proportional to 11,814.54, 16,302.42 and 6,509.22 is: 8,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.54 : 16,302.42 = 6,509.22 : x
  2. Step 2: Convert to fraction form
    11,814.54/16,302.42 = 6,509.22/x
  3. Step 3: Cross multiply
    11,814.54x = 16,302.42 × 6,509.22
  4. Step 4: Simplify right side
    11,814.54x = 106,116,038.31
  5. Step 5: Solve for x
    x = 106,116,038.31/11,814.54
  6. Step 6: Final answer
    x = 8,981.82

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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.