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Finding the Fourth Proportional to 10,147.50, 14,003.58 and 5,731.50

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Solution

The fourth proportional to 10,147.50, 14,003.58 and 5,731.50 is: 7,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.50 : 14,003.58 = 5,731.50 : x
  2. Step 2: Convert to fraction form
    10,147.50/14,003.58 = 5,731.50/x
  3. Step 3: Cross multiply
    10,147.50x = 14,003.58 × 5,731.50
  4. Step 4: Simplify right side
    10,147.50x = 80,261,518.77
  5. Step 5: Solve for x
    x = 80,261,518.77/10,147.50
  6. Step 6: Final answer
    x = 7,909.49

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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.