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Finding the Fourth Proportional to 10,453.17, 14,424.64 and 5,978.53

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Solution

The fourth proportional to 10,453.17, 14,424.64 and 5,978.53 is: 8,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.17 : 14,424.64 = 5,978.53 : x
  2. Step 2: Convert to fraction form
    10,453.17/14,424.64 = 5,978.53/x
  3. Step 3: Cross multiply
    10,453.17x = 14,424.64 × 5,978.53
  4. Step 4: Simplify right side
    10,453.17x = 86,238,142.98
  5. Step 5: Solve for x
    x = 86,238,142.98/10,453.17
  6. Step 6: Final answer
    x = 8,249.95

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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.