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Finding the Fourth Proportional to 10,804.74, 16,205.67 and 3,014.34

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Solution

The fourth proportional to 10,804.74, 16,205.67 and 3,014.34 is: 4,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.74 : 16,205.67 = 3,014.34 : x
  2. Step 2: Convert to fraction form
    10,804.74/16,205.67 = 3,014.34/x
  3. Step 3: Cross multiply
    10,804.74x = 16,205.67 × 3,014.34
  4. Step 4: Simplify right side
    10,804.74x = 48,849,399.31
  5. Step 5: Solve for x
    x = 48,849,399.31/10,804.74
  6. Step 6: Final answer
    x = 4,521.11

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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.