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Finding the Fourth Proportional to 11,623.90, 16,041.02 and 6,318.71

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Solution

The fourth proportional to 11,623.90, 16,041.02 and 6,318.71 is: 8,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.90 : 16,041.02 = 6,318.71 : x
  2. Step 2: Convert to fraction form
    11,623.90/16,041.02 = 6,318.71/x
  3. Step 3: Cross multiply
    11,623.90x = 16,041.02 × 6,318.71
  4. Step 4: Simplify right side
    11,623.90x = 101,358,574.81
  5. Step 5: Solve for x
    x = 101,358,574.81/11,623.90
  6. Step 6: Final answer
    x = 8,719.85

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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.