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Finding the Fourth Proportional to 11,615.94, 16,033.95 and 7,139.88

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Solution

The fourth proportional to 11,615.94, 16,033.95 and 7,139.88 is: 9,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.94 : 16,033.95 = 7,139.88 : x
  2. Step 2: Convert to fraction form
    11,615.94/16,033.95 = 7,139.88/x
  3. Step 3: Cross multiply
    11,615.94x = 16,033.95 × 7,139.88
  4. Step 4: Simplify right side
    11,615.94x = 114,480,478.93
  5. Step 5: Solve for x
    x = 114,480,478.93/11,615.94
  6. Step 6: Final answer
    x = 9,855.46

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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.