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Finding the Fourth Proportional to 11,678.00, 16,111.42 and 8,990.04

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Solution

The fourth proportional to 11,678.00, 16,111.42 and 8,990.04 is: 12,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.00 : 16,111.42 = 8,990.04 : x
  2. Step 2: Convert to fraction form
    11,678.00/16,111.42 = 8,990.04/x
  3. Step 3: Cross multiply
    11,678.00x = 16,111.42 × 8,990.04
  4. Step 4: Simplify right side
    11,678.00x = 144,842,184.75
  5. Step 5: Solve for x
    x = 144,842,184.75/11,678.00
  6. Step 6: Final answer
    x = 12,403.00

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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.