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Finding the Fourth Proportional to 10,612.54, 15,896.93 and 6,216.67

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Solution

The fourth proportional to 10,612.54, 15,896.93 and 6,216.67 is: 9,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.54 : 15,896.93 = 6,216.67 : x
  2. Step 2: Convert to fraction form
    10,612.54/15,896.93 = 6,216.67/x
  3. Step 3: Cross multiply
    10,612.54x = 15,896.93 × 6,216.67
  4. Step 4: Simplify right side
    10,612.54x = 98,825,857.26
  5. Step 5: Solve for x
    x = 98,825,857.26/10,612.54
  6. Step 6: Final answer
    x = 9,312.18

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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.