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Finding the Fourth Proportional to 10,570.53, 14,589.31 and 7,553.82

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Solution

The fourth proportional to 10,570.53, 14,589.31 and 7,553.82 is: 10,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.53 : 14,589.31 = 7,553.82 : x
  2. Step 2: Convert to fraction form
    10,570.53/14,589.31 = 7,553.82/x
  3. Step 3: Cross multiply
    10,570.53x = 14,589.31 × 7,553.82
  4. Step 4: Simplify right side
    10,570.53x = 110,205,021.66
  5. Step 5: Solve for x
    x = 110,205,021.66/10,570.53
  6. Step 6: Final answer
    x = 10,425.69

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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.