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Finding the Fourth Proportional to 7,639.58, 10,543.14 and 4,283

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Solution

The fourth proportional to 7,639.58, 10,543.14 and 4,283 is: 5,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.58 : 10,543.14 = 4,283 : x
  2. Step 2: Convert to fraction form
    7,639.58/10,543.14 = 4,283/x
  3. Step 3: Cross multiply
    7,639.58x = 10,543.14 × 4,283
  4. Step 4: Simplify right side
    7,639.58x = 45,156,268.62
  5. Step 5: Solve for x
    x = 45,156,268.62/7,639.58
  6. Step 6: Final answer
    x = 5,910.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.