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Finding the Fourth Proportional to 8,089.94, 12,140.40 and 3,159.56

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Solution

The fourth proportional to 8,089.94, 12,140.40 and 3,159.56 is: 4,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.94 : 12,140.40 = 3,159.56 : x
  2. Step 2: Convert to fraction form
    8,089.94/12,140.40 = 3,159.56/x
  3. Step 3: Cross multiply
    8,089.94x = 12,140.40 × 3,159.56
  4. Step 4: Simplify right side
    8,089.94x = 38,358,322.22
  5. Step 5: Solve for x
    x = 38,358,322.22/8,089.94
  6. Step 6: Final answer
    x = 4,741.48

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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.