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Finding the Fourth Proportional to 11,492.20, 17,242.64 and 7,828.96

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Solution

The fourth proportional to 11,492.20, 17,242.64 and 7,828.96 is: 11,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.20 : 17,242.64 = 7,828.96 : x
  2. Step 2: Convert to fraction form
    11,492.20/17,242.64 = 7,828.96/x
  3. Step 3: Cross multiply
    11,492.20x = 17,242.64 × 7,828.96
  4. Step 4: Simplify right side
    11,492.20x = 134,991,938.85
  5. Step 5: Solve for x
    x = 134,991,938.85/11,492.20
  6. Step 6: Final answer
    x = 11,746.40

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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.