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Finding the Fourth Proportional to 11,828.76, 16,323.49 and 6,524.07

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Solution

The fourth proportional to 11,828.76, 16,323.49 and 6,524.07 is: 9,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.76 : 16,323.49 = 6,524.07 : x
  2. Step 2: Convert to fraction form
    11,828.76/16,323.49 = 6,524.07/x
  3. Step 3: Cross multiply
    11,828.76x = 16,323.49 × 6,524.07
  4. Step 4: Simplify right side
    11,828.76x = 106,495,477.17
  5. Step 5: Solve for x
    x = 106,495,477.17/11,828.76
  6. Step 6: Final answer
    x = 9,003.10

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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.