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Finding the Fourth Proportional to 7,930.40, 11,894.65 and 2,087.47

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Solution

The fourth proportional to 7,930.40, 11,894.65 and 2,087.47 is: 3,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.40 : 11,894.65 = 2,087.47 : x
  2. Step 2: Convert to fraction form
    7,930.40/11,894.65 = 2,087.47/x
  3. Step 3: Cross multiply
    7,930.40x = 11,894.65 × 2,087.47
  4. Step 4: Simplify right side
    7,930.40x = 24,829,725.04
  5. Step 5: Solve for x
    x = 24,829,725.04/7,930.40
  6. Step 6: Final answer
    x = 3,130.95

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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.