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Finding the Fourth Proportional to 7,848.60, 10,830.96 and 4,311.60

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Solution

The fourth proportional to 7,848.60, 10,830.96 and 4,311.60 is: 5,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.60 : 10,830.96 = 4,311.60 : x
  2. Step 2: Convert to fraction form
    7,848.60/10,830.96 = 4,311.60/x
  3. Step 3: Cross multiply
    7,848.60x = 10,830.96 × 4,311.60
  4. Step 4: Simplify right side
    7,848.60x = 46,698,767.14
  5. Step 5: Solve for x
    x = 46,698,767.14/7,848.60
  6. Step 6: Final answer
    x = 5,949.95

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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.