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Finding the Fourth Proportional to 10,599.40, 14,631.78 and 8,237.80

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Solution

The fourth proportional to 10,599.40, 14,631.78 and 8,237.80 is: 11,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.40 : 14,631.78 = 8,237.80 : x
  2. Step 2: Convert to fraction form
    10,599.40/14,631.78 = 8,237.80/x
  3. Step 3: Cross multiply
    10,599.40x = 14,631.78 × 8,237.80
  4. Step 4: Simplify right side
    10,599.40x = 120,533,677.28
  5. Step 5: Solve for x
    x = 120,533,677.28/10,599.40
  6. Step 6: Final answer
    x = 11,371.75

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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.