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Finding the Fourth Proportional to 11,895.28, 16,417.38 and 7,423.90

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Solution

The fourth proportional to 11,895.28, 16,417.38 and 7,423.90 is: 10,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.28 : 16,417.38 = 7,423.90 : x
  2. Step 2: Convert to fraction form
    11,895.28/16,417.38 = 7,423.90/x
  3. Step 3: Cross multiply
    11,895.28x = 16,417.38 × 7,423.90
  4. Step 4: Simplify right side
    11,895.28x = 121,880,987.38
  5. Step 5: Solve for x
    x = 121,880,987.38/11,895.28
  6. Step 6: Final answer
    x = 10,246.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.