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Finding the Fourth Proportional to 11,527.14, 15,907.29 and 6,491.85

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Solution

The fourth proportional to 11,527.14, 15,907.29 and 6,491.85 is: 8,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.14 : 15,907.29 = 6,491.85 : x
  2. Step 2: Convert to fraction form
    11,527.14/15,907.29 = 6,491.85/x
  3. Step 3: Cross multiply
    11,527.14x = 15,907.29 × 6,491.85
  4. Step 4: Simplify right side
    11,527.14x = 103,267,740.59
  5. Step 5: Solve for x
    x = 103,267,740.59/11,527.14
  6. Step 6: Final answer
    x = 8,958.66

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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.