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Finding the Fourth Proportional to 10,606.70, 14,636.36 and 5,826.50

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Solution

The fourth proportional to 10,606.70, 14,636.36 and 5,826.50 is: 8,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.70 : 14,636.36 = 5,826.50 : x
  2. Step 2: Convert to fraction form
    10,606.70/14,636.36 = 5,826.50/x
  3. Step 3: Cross multiply
    10,606.70x = 14,636.36 × 5,826.50
  4. Step 4: Simplify right side
    10,606.70x = 85,278,751.54
  5. Step 5: Solve for x
    x = 85,278,751.54/10,606.70
  6. Step 6: Final answer
    x = 8,040.08

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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.