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Finding the Fourth Proportional to 7,930.40, 11,891.88 and 4,599.60

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Solution

The fourth proportional to 7,930.40, 11,891.88 and 4,599.60 is: 6,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.40 : 11,891.88 = 4,599.60 : x
  2. Step 2: Convert to fraction form
    7,930.40/11,891.88 = 4,599.60/x
  3. Step 3: Cross multiply
    7,930.40x = 11,891.88 × 4,599.60
  4. Step 4: Simplify right side
    7,930.40x = 54,697,891.25
  5. Step 5: Solve for x
    x = 54,697,891.25/7,930.40
  6. Step 6: Final answer
    x = 6,897.24

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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.