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Finding the Fourth Proportional to 11,005.92, 16,490.34 and 7,102.08

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Solution

The fourth proportional to 11,005.92, 16,490.34 and 7,102.08 is: 10,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.92 : 16,490.34 = 7,102.08 : x
  2. Step 2: Convert to fraction form
    11,005.92/16,490.34 = 7,102.08/x
  3. Step 3: Cross multiply
    11,005.92x = 16,490.34 × 7,102.08
  4. Step 4: Simplify right side
    11,005.92x = 117,115,713.91
  5. Step 5: Solve for x
    x = 117,115,713.91/11,005.92
  6. Step 6: Final answer
    x = 10,641.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.