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Finding the Fourth Proportional to 11,828.10, 16,322.92 and 7,842.08

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Solution

The fourth proportional to 11,828.10, 16,322.92 and 7,842.08 is: 10,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.10 : 16,322.92 = 7,842.08 : x
  2. Step 2: Convert to fraction form
    11,828.10/16,322.92 = 7,842.08/x
  3. Step 3: Cross multiply
    11,828.10x = 16,322.92 × 7,842.08
  4. Step 4: Simplify right side
    11,828.10x = 128,005,644.47
  5. Step 5: Solve for x
    x = 128,005,644.47/11,828.10
  6. Step 6: Final answer
    x = 10,822.16

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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.