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Finding the Fourth Proportional to 11,828.81, 16,322.91 and 6,523.51

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Solution

The fourth proportional to 11,828.81, 16,322.91 and 6,523.51 is: 9,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.81 : 16,322.91 = 6,523.51 : x
  2. Step 2: Convert to fraction form
    11,828.81/16,322.91 = 6,523.51/x
  3. Step 3: Cross multiply
    11,828.81x = 16,322.91 × 6,523.51
  4. Step 4: Simplify right side
    11,828.81x = 106,482,666.61
  5. Step 5: Solve for x
    x = 106,482,666.61/11,828.81
  6. Step 6: Final answer
    x = 9,001.98

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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.