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Finding the Fourth Proportional to 7,686.92, 11,526.56 and 2,492.12

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Solution

The fourth proportional to 7,686.92, 11,526.56 and 2,492.12 is: 3,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.92 : 11,526.56 = 2,492.12 : x
  2. Step 2: Convert to fraction form
    7,686.92/11,526.56 = 2,492.12/x
  3. Step 3: Cross multiply
    7,686.92x = 11,526.56 × 2,492.12
  4. Step 4: Simplify right side
    7,686.92x = 28,725,570.71
  5. Step 5: Solve for x
    x = 28,725,570.71/7,686.92
  6. Step 6: Final answer
    x = 3,736.94

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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.