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Finding the Fourth Proportional to 10,620.90, 14,596.89 and 8,258.94

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Solution

The fourth proportional to 10,620.90, 14,596.89 and 8,258.94 is: 11,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.90 : 14,596.89 = 8,258.94 : x
  2. Step 2: Convert to fraction form
    10,620.90/14,596.89 = 8,258.94/x
  3. Step 3: Cross multiply
    10,620.90x = 14,596.89 × 8,258.94
  4. Step 4: Simplify right side
    10,620.90x = 120,554,838.70
  5. Step 5: Solve for x
    x = 120,554,838.70/10,620.90
  6. Step 6: Final answer
    x = 11,350.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.