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Finding the Fourth Proportional to 10,907.60, 16,359.42 and 3,114.50

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Solution

The fourth proportional to 10,907.60, 16,359.42 and 3,114.50 is: 4,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.60 : 16,359.42 = 3,114.50 : x
  2. Step 2: Convert to fraction form
    10,907.60/16,359.42 = 3,114.50/x
  3. Step 3: Cross multiply
    10,907.60x = 16,359.42 × 3,114.50
  4. Step 4: Simplify right side
    10,907.60x = 50,951,413.59
  5. Step 5: Solve for x
    x = 50,951,413.59/10,907.60
  6. Step 6: Final answer
    x = 4,671.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.