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Finding the Fourth Proportional to 11,492.33, 15,872.76 and 9,200.70

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Solution

The fourth proportional to 11,492.33, 15,872.76 and 9,200.70 is: 12,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.33 : 15,872.76 = 9,200.70 : x
  2. Step 2: Convert to fraction form
    11,492.33/15,872.76 = 9,200.70/x
  3. Step 3: Cross multiply
    11,492.33x = 15,872.76 × 9,200.70
  4. Step 4: Simplify right side
    11,492.33x = 146,040,502.93
  5. Step 5: Solve for x
    x = 146,040,502.93/11,492.33
  6. Step 6: Final answer
    x = 12,707.66

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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.