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Finding the Fourth Proportional to 10,518.98, 15,780.04 and 3,122.57

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Solution

The fourth proportional to 10,518.98, 15,780.04 and 3,122.57 is: 4,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.98 : 15,780.04 = 3,122.57 : x
  2. Step 2: Convert to fraction form
    10,518.98/15,780.04 = 3,122.57/x
  3. Step 3: Cross multiply
    10,518.98x = 15,780.04 × 3,122.57
  4. Step 4: Simplify right side
    10,518.98x = 49,274,200.60
  5. Step 5: Solve for x
    x = 49,274,200.60/10,518.98
  6. Step 6: Final answer
    x = 4,684.31

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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.