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Finding the Fourth Proportional to 10,500.84, 14,471.22 and 7,511.48

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Solution

The fourth proportional to 10,500.84, 14,471.22 and 7,511.48 is: 10,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.84 : 14,471.22 = 7,511.48 : x
  2. Step 2: Convert to fraction form
    10,500.84/14,471.22 = 7,511.48/x
  3. Step 3: Cross multiply
    10,500.84x = 14,471.22 × 7,511.48
  4. Step 4: Simplify right side
    10,500.84x = 108,700,315.78
  5. Step 5: Solve for x
    x = 108,700,315.78/10,500.84
  6. Step 6: Final answer
    x = 10,351.58

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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.