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Finding the Fourth Proportional to 11,611.81, 16,026.83 and 7,139.40

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Solution

The fourth proportional to 11,611.81, 16,026.83 and 7,139.40 is: 9,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.81 : 16,026.83 = 7,139.40 : x
  2. Step 2: Convert to fraction form
    11,611.81/16,026.83 = 7,139.40/x
  3. Step 3: Cross multiply
    11,611.81x = 16,026.83 × 7,139.40
  4. Step 4: Simplify right side
    11,611.81x = 114,421,950.10
  5. Step 5: Solve for x
    x = 114,421,950.10/11,611.81
  6. Step 6: Final answer
    x = 9,853.93

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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.