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Finding the Fourth Proportional to 12,133.18, 16,746.51 and 7,939

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Solution

The fourth proportional to 12,133.18, 16,746.51 and 7,939 is: 10,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.18 : 16,746.51 = 7,939 : x
  2. Step 2: Convert to fraction form
    12,133.18/16,746.51 = 7,939/x
  3. Step 3: Cross multiply
    12,133.18x = 16,746.51 × 7,939
  4. Step 4: Simplify right side
    12,133.18x = 132,950,542.89
  5. Step 5: Solve for x
    x = 132,950,542.89/12,133.18
  6. Step 6: Final answer
    x = 10,957.60

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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.