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Finding the Fourth Proportional to 10,059.69, 13,872.67 and 7,513.05

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Solution

The fourth proportional to 10,059.69, 13,872.67 and 7,513.05 is: 10,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.69 : 13,872.67 = 7,513.05 : x
  2. Step 2: Convert to fraction form
    10,059.69/13,872.67 = 7,513.05/x
  3. Step 3: Cross multiply
    10,059.69x = 13,872.67 × 7,513.05
  4. Step 4: Simplify right side
    10,059.69x = 104,226,096.58
  5. Step 5: Solve for x
    x = 104,226,096.58/10,059.69
  6. Step 6: Final answer
    x = 10,360.76

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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.