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Finding the Fourth Proportional to 10,817.65, 16,225.40 and 3,026.53

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Solution

The fourth proportional to 10,817.65, 16,225.40 and 3,026.53 is: 4,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.65 : 16,225.40 = 3,026.53 : x
  2. Step 2: Convert to fraction form
    10,817.65/16,225.40 = 3,026.53/x
  3. Step 3: Cross multiply
    10,817.65x = 16,225.40 × 3,026.53
  4. Step 4: Simplify right side
    10,817.65x = 49,106,644.73
  5. Step 5: Solve for x
    x = 49,106,644.73/10,817.65
  6. Step 6: Final answer
    x = 4,539.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.