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Finding the Fourth Proportional to 10,313.50, 14,230.98 and 5,835.82

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Solution

The fourth proportional to 10,313.50, 14,230.98 and 5,835.82 is: 8,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.50 : 14,230.98 = 5,835.82 : x
  2. Step 2: Convert to fraction form
    10,313.50/14,230.98 = 5,835.82/x
  3. Step 3: Cross multiply
    10,313.50x = 14,230.98 × 5,835.82
  4. Step 4: Simplify right side
    10,313.50x = 83,049,437.70
  5. Step 5: Solve for x
    x = 83,049,437.70/10,313.50
  6. Step 6: Final answer
    x = 8,052.50

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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.