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Finding the Fourth Proportional to 8,492.51, 12,738.84 and 2,569.42

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Solution

The fourth proportional to 8,492.51, 12,738.84 and 2,569.42 is: 3,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.51 : 12,738.84 = 2,569.42 : x
  2. Step 2: Convert to fraction form
    8,492.51/12,738.84 = 2,569.42/x
  3. Step 3: Cross multiply
    8,492.51x = 12,738.84 × 2,569.42
  4. Step 4: Simplify right side
    8,492.51x = 32,731,436.56
  5. Step 5: Solve for x
    x = 32,731,436.56/8,492.51
  6. Step 6: Final answer
    x = 3,854.15

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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.