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Finding the Fourth Proportional to 11,423.84, 15,760.26 and 7,443.50

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Solution

The fourth proportional to 11,423.84, 15,760.26 and 7,443.50 is: 10,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.84 : 15,760.26 = 7,443.50 : x
  2. Step 2: Convert to fraction form
    11,423.84/15,760.26 = 7,443.50/x
  3. Step 3: Cross multiply
    11,423.84x = 15,760.26 × 7,443.50
  4. Step 4: Simplify right side
    11,423.84x = 117,311,495.31
  5. Step 5: Solve for x
    x = 117,311,495.31/11,423.84
  6. Step 6: Final answer
    x = 10,269.01

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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.