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Finding the Fourth Proportional to 10,453.35, 14,424.98 and 5,737.60

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Solution

The fourth proportional to 10,453.35, 14,424.98 and 5,737.60 is: 7,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.35 : 14,424.98 = 5,737.60 : x
  2. Step 2: Convert to fraction form
    10,453.35/14,424.98 = 5,737.60/x
  3. Step 3: Cross multiply
    10,453.35x = 14,424.98 × 5,737.60
  4. Step 4: Simplify right side
    10,453.35x = 82,764,700.50
  5. Step 5: Solve for x
    x = 82,764,700.50/10,453.35
  6. Step 6: Final answer
    x = 7,917.53

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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.