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Finding the Fourth Proportional to 11,628.94, 16,038.99 and 7,846.06

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Solution

The fourth proportional to 11,628.94, 16,038.99 and 7,846.06 is: 10,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.94 : 16,038.99 = 7,846.06 : x
  2. Step 2: Convert to fraction form
    11,628.94/16,038.99 = 7,846.06/x
  3. Step 3: Cross multiply
    11,628.94x = 16,038.99 × 7,846.06
  4. Step 4: Simplify right side
    11,628.94x = 125,842,877.88
  5. Step 5: Solve for x
    x = 125,842,877.88/11,628.94
  6. Step 6: Final answer
    x = 10,821.53

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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.