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Finding the Fourth Proportional to 10,511.50, 14,505.99 and 7,329.46

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Solution

The fourth proportional to 10,511.50, 14,505.99 and 7,329.46 is: 10,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.50 : 14,505.99 = 7,329.46 : x
  2. Step 2: Convert to fraction form
    10,511.50/14,505.99 = 7,329.46/x
  3. Step 3: Cross multiply
    10,511.50x = 14,505.99 × 7,329.46
  4. Step 4: Simplify right side
    10,511.50x = 106,321,073.47
  5. Step 5: Solve for x
    x = 106,321,073.47/10,511.50
  6. Step 6: Final answer
    x = 10,114.74

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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.