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Finding the Fourth Proportional to 11,688.94, 16,130.14 and 6,382.77

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Solution

The fourth proportional to 11,688.94, 16,130.14 and 6,382.77 is: 8,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.94 : 16,130.14 = 6,382.77 : x
  2. Step 2: Convert to fraction form
    11,688.94/16,130.14 = 6,382.77/x
  3. Step 3: Cross multiply
    11,688.94x = 16,130.14 × 6,382.77
  4. Step 4: Simplify right side
    11,688.94x = 102,954,973.69
  5. Step 5: Solve for x
    x = 102,954,973.69/11,688.94
  6. Step 6: Final answer
    x = 8,807.90

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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.