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Finding the Fourth Proportional to 11,515.30, 15,873.24 and 9,633.13

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Solution

The fourth proportional to 11,515.30, 15,873.24 and 9,633.13 is: 13,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.30 : 15,873.24 = 9,633.13 : x
  2. Step 2: Convert to fraction form
    11,515.30/15,873.24 = 9,633.13/x
  3. Step 3: Cross multiply
    11,515.30x = 15,873.24 × 9,633.13
  4. Step 4: Simplify right side
    11,515.30x = 152,908,984.44
  5. Step 5: Solve for x
    x = 152,908,984.44/11,515.30
  6. Step 6: Final answer
    x = 13,278.77

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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.