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Finding the Fourth Proportional to 10,315.50, 14,230.02 and 6,532.26

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Solution

The fourth proportional to 10,315.50, 14,230.02 and 6,532.26 is: 9,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.50 : 14,230.02 = 6,532.26 : x
  2. Step 2: Convert to fraction form
    10,315.50/14,230.02 = 6,532.26/x
  3. Step 3: Cross multiply
    10,315.50x = 14,230.02 × 6,532.26
  4. Step 4: Simplify right side
    10,315.50x = 92,954,190.45
  5. Step 5: Solve for x
    x = 92,954,190.45/10,315.50
  6. Step 6: Final answer
    x = 9,011.12

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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.