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Finding the Fourth Proportional to 10,453.38, 14,411.70 and 8,954.88

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Solution

The fourth proportional to 10,453.38, 14,411.70 and 8,954.88 is: 12,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.38 : 14,411.70 = 8,954.88 : x
  2. Step 2: Convert to fraction form
    10,453.38/14,411.70 = 8,954.88/x
  3. Step 3: Cross multiply
    10,453.38x = 14,411.70 × 8,954.88
  4. Step 4: Simplify right side
    10,453.38x = 129,055,044.10
  5. Step 5: Solve for x
    x = 129,055,044.10/10,453.38
  6. Step 6: Final answer
    x = 12,345.77

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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.