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Finding the Fourth Proportional to 10,218.16, 15,316.36 and 5,826.16

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Solution

The fourth proportional to 10,218.16, 15,316.36 and 5,826.16 is: 8,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.16 : 15,316.36 = 5,826.16 : x
  2. Step 2: Convert to fraction form
    10,218.16/15,316.36 = 5,826.16/x
  3. Step 3: Cross multiply
    10,218.16x = 15,316.36 × 5,826.16
  4. Step 4: Simplify right side
    10,218.16x = 89,235,563.98
  5. Step 5: Solve for x
    x = 89,235,563.98/10,218.16
  6. Step 6: Final answer
    x = 8,733.04

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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.