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Finding the Fourth Proportional to 10,825.88, 14,937.13 and 7,467.62

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Solution

The fourth proportional to 10,825.88, 14,937.13 and 7,467.62 is: 10,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.88 : 14,937.13 = 7,467.62 : x
  2. Step 2: Convert to fraction form
    10,825.88/14,937.13 = 7,467.62/x
  3. Step 3: Cross multiply
    10,825.88x = 14,937.13 × 7,467.62
  4. Step 4: Simplify right side
    10,825.88x = 111,544,810.73
  5. Step 5: Solve for x
    x = 111,544,810.73/10,825.88
  6. Step 6: Final answer
    x = 10,303.53

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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.