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Finding the Fourth Proportional to 10,505.88, 14,496.36 and 6,532.38

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Solution

The fourth proportional to 10,505.88, 14,496.36 and 6,532.38 is: 9,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.88 : 14,496.36 = 6,532.38 : x
  2. Step 2: Convert to fraction form
    10,505.88/14,496.36 = 6,532.38/x
  3. Step 3: Cross multiply
    10,505.88x = 14,496.36 × 6,532.38
  4. Step 4: Simplify right side
    10,505.88x = 94,695,732.14
  5. Step 5: Solve for x
    x = 94,695,732.14/10,505.88
  6. Step 6: Final answer
    x = 9,013.59

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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.