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Finding the Fourth Proportional to 28,492.68, 42,735.78 and 7,714.56

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Solution

The fourth proportional to 28,492.68, 42,735.78 and 7,714.56 is: 11,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,492.68 : 42,735.78 = 7,714.56 : x
  2. Step 2: Convert to fraction form
    28,492.68/42,735.78 = 7,714.56/x
  3. Step 3: Cross multiply
    28,492.68x = 42,735.78 × 7,714.56
  4. Step 4: Simplify right side
    28,492.68x = 329,687,738.96
  5. Step 5: Solve for x
    x = 329,687,738.96/28,492.68
  6. Step 6: Final answer
    x = 11,570.96

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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.