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Finding the Fourth Proportional to 11,286.46, 16,934.55 and 7,602.58

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Solution

The fourth proportional to 11,286.46, 16,934.55 and 7,602.58 is: 11,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.46 : 16,934.55 = 7,602.58 : x
  2. Step 2: Convert to fraction form
    11,286.46/16,934.55 = 7,602.58/x
  3. Step 3: Cross multiply
    11,286.46x = 16,934.55 × 7,602.58
  4. Step 4: Simplify right side
    11,286.46x = 128,746,271.14
  5. Step 5: Solve for x
    x = 128,746,271.14/11,286.46
  6. Step 6: Final answer
    x = 11,407.14

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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.