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Finding the Fourth Proportional to 10,854.40, 16,289.44 and 8,395.20

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Solution

The fourth proportional to 10,854.40, 16,289.44 and 8,395.20 is: 12,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.40 : 16,289.44 = 8,395.20 : x
  2. Step 2: Convert to fraction form
    10,854.40/16,289.44 = 8,395.20/x
  3. Step 3: Cross multiply
    10,854.40x = 16,289.44 × 8,395.20
  4. Step 4: Simplify right side
    10,854.40x = 136,753,106.69
  5. Step 5: Solve for x
    x = 136,753,106.69/10,854.40
  6. Step 6: Final answer
    x = 12,598.86

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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.