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Finding the Fourth Proportional to 11,051.94, 16,565.88 and 5,509.38

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Solution

The fourth proportional to 11,051.94, 16,565.88 and 5,509.38 is: 8,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.94 : 16,565.88 = 5,509.38 : x
  2. Step 2: Convert to fraction form
    11,051.94/16,565.88 = 5,509.38/x
  3. Step 3: Cross multiply
    11,051.94x = 16,565.88 × 5,509.38
  4. Step 4: Simplify right side
    11,051.94x = 91,267,727.95
  5. Step 5: Solve for x
    x = 91,267,727.95/11,051.94
  6. Step 6: Final answer
    x = 8,258.07

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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.