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Finding the Fourth Proportional to 11,492.40, 17,231.68 and 5,166.16

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Solution

The fourth proportional to 11,492.40, 17,231.68 and 5,166.16 is: 7,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.40 : 17,231.68 = 5,166.16 : x
  2. Step 2: Convert to fraction form
    11,492.40/17,231.68 = 5,166.16/x
  3. Step 3: Cross multiply
    11,492.40x = 17,231.68 × 5,166.16
  4. Step 4: Simplify right side
    11,492.40x = 89,021,615.95
  5. Step 5: Solve for x
    x = 89,021,615.95/11,492.40
  6. Step 6: Final answer
    x = 7,746.13

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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.