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Finding the Fourth Proportional to 10,465.38, 14,428.26 and 8,966.88

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Solution

The fourth proportional to 10,465.38, 14,428.26 and 8,966.88 is: 12,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.38 : 14,428.26 = 8,966.88 : x
  2. Step 2: Convert to fraction form
    10,465.38/14,428.26 = 8,966.88/x
  3. Step 3: Cross multiply
    10,465.38x = 14,428.26 × 8,966.88
  4. Step 4: Simplify right side
    10,465.38x = 129,376,476.03
  5. Step 5: Solve for x
    x = 129,376,476.03/10,465.38
  6. Step 6: Final answer
    x = 12,362.33

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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.