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Finding the Fourth Proportional to 10,854.70, 16,285.30 and 7,698.22

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Solution

The fourth proportional to 10,854.70, 16,285.30 and 7,698.22 is: 11,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.70 : 16,285.30 = 7,698.22 : x
  2. Step 2: Convert to fraction form
    10,854.70/16,285.30 = 7,698.22/x
  3. Step 3: Cross multiply
    10,854.70x = 16,285.30 × 7,698.22
  4. Step 4: Simplify right side
    10,854.70x = 125,367,822.17
  5. Step 5: Solve for x
    x = 125,367,822.17/10,854.70
  6. Step 6: Final answer
    x = 11,549.63

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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.