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Finding the Fourth Proportional to 7,871.60, 11,807.48 and 3,713.57

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Solution

The fourth proportional to 7,871.60, 11,807.48 and 3,713.57 is: 5,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.60 : 11,807.48 = 3,713.57 : x
  2. Step 2: Convert to fraction form
    7,871.60/11,807.48 = 3,713.57/x
  3. Step 3: Cross multiply
    7,871.60x = 11,807.48 × 3,713.57
  4. Step 4: Simplify right side
    7,871.60x = 43,847,898.03
  5. Step 5: Solve for x
    x = 43,847,898.03/7,871.60
  6. Step 6: Final answer
    x = 5,570.39

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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.