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Finding the Fourth Proportional to 11,454.12, 15,806.32 and 6,738.72

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Solution

The fourth proportional to 11,454.12, 15,806.32 and 6,738.72 is: 9,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.12 : 15,806.32 = 6,738.72 : x
  2. Step 2: Convert to fraction form
    11,454.12/15,806.32 = 6,738.72/x
  3. Step 3: Cross multiply
    11,454.12x = 15,806.32 × 6,738.72
  4. Step 4: Simplify right side
    11,454.12x = 106,514,364.71
  5. Step 5: Solve for x
    x = 106,514,364.71/11,454.12
  6. Step 6: Final answer
    x = 9,299.22

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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.