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Finding the Fourth Proportional to 10,511.47, 14,505.87 and 5,795.74

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Solution

The fourth proportional to 10,511.47, 14,505.87 and 5,795.74 is: 7,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.47 : 14,505.87 = 5,795.74 : x
  2. Step 2: Convert to fraction form
    10,511.47/14,505.87 = 5,795.74/x
  3. Step 3: Cross multiply
    10,511.47x = 14,505.87 × 5,795.74
  4. Step 4: Simplify right side
    10,511.47x = 84,072,250.99
  5. Step 5: Solve for x
    x = 84,072,250.99/10,511.47
  6. Step 6: Final answer
    x = 7,998.14

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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.