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Finding the Fourth Proportional to 8,742, 13,106.88 and 4,059.36

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Solution

The fourth proportional to 8,742, 13,106.88 and 4,059.36 is: 6,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 13,106.88 = 4,059.36 : x
  2. Step 2: Convert to fraction form
    8,742/13,106.88 = 4,059.36/x
  3. Step 3: Cross multiply
    8,742x = 13,106.88 × 4,059.36
  4. Step 4: Simplify right side
    8,742x = 53,205,544.40
  5. Step 5: Solve for x
    x = 53,205,544.40/8,742
  6. Step 6: Final answer
    x = 6,086.20

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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.