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Finding the Fourth Proportional to 10,986.12, 16,462.44 and 7,038.45

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Solution

The fourth proportional to 10,986.12, 16,462.44 and 7,038.45 is: 10,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.12 : 16,462.44 = 7,038.45 : x
  2. Step 2: Convert to fraction form
    10,986.12/16,462.44 = 7,038.45/x
  3. Step 3: Cross multiply
    10,986.12x = 16,462.44 × 7,038.45
  4. Step 4: Simplify right side
    10,986.12x = 115,870,060.82
  5. Step 5: Solve for x
    x = 115,870,060.82/10,986.12
  6. Step 6: Final answer
    x = 10,546.95

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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.