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Finding the Fourth Proportional to 10,089.60, 15,130.80 and 3,847.98

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Solution

The fourth proportional to 10,089.60, 15,130.80 and 3,847.98 is: 5,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.60 : 15,130.80 = 3,847.98 : x
  2. Step 2: Convert to fraction form
    10,089.60/15,130.80 = 3,847.98/x
  3. Step 3: Cross multiply
    10,089.60x = 15,130.80 × 3,847.98
  4. Step 4: Simplify right side
    10,089.60x = 58,223,015.78
  5. Step 5: Solve for x
    x = 58,223,015.78/10,089.60
  6. Step 6: Final answer
    x = 5,770.60

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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.