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Finding the Fourth Proportional to 12,155.07, 16,777.12 and 7,916.69

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Solution

The fourth proportional to 12,155.07, 16,777.12 and 7,916.69 is: 10,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.07 : 16,777.12 = 7,916.69 : x
  2. Step 2: Convert to fraction form
    12,155.07/16,777.12 = 7,916.69/x
  3. Step 3: Cross multiply
    12,155.07x = 16,777.12 × 7,916.69
  4. Step 4: Simplify right side
    12,155.07x = 132,819,295.13
  5. Step 5: Solve for x
    x = 132,819,295.13/12,155.07
  6. Step 6: Final answer
    x = 10,927.07

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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.