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Finding the Fourth Proportional to 10,474.36, 15,711.51 and 6,581.50

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Solution

The fourth proportional to 10,474.36, 15,711.51 and 6,581.50 is: 9,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.36 : 15,711.51 = 6,581.50 : x
  2. Step 2: Convert to fraction form
    10,474.36/15,711.51 = 6,581.50/x
  3. Step 3: Cross multiply
    10,474.36x = 15,711.51 × 6,581.50
  4. Step 4: Simplify right side
    10,474.36x = 103,405,303.07
  5. Step 5: Solve for x
    x = 103,405,303.07/10,474.36
  6. Step 6: Final answer
    x = 9,872.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.