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Finding the Fourth Proportional to 11,526.87, 15,907.46 and 6,491.17

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Solution

The fourth proportional to 11,526.87, 15,907.46 and 6,491.17 is: 8,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.87 : 15,907.46 = 6,491.17 : x
  2. Step 2: Convert to fraction form
    11,526.87/15,907.46 = 6,491.17/x
  3. Step 3: Cross multiply
    11,526.87x = 15,907.46 × 6,491.17
  4. Step 4: Simplify right side
    11,526.87x = 103,258,014.56
  5. Step 5: Solve for x
    x = 103,258,014.56/11,526.87
  6. Step 6: Final answer
    x = 8,958.02

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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.