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Finding the Fourth Proportional to 10,807.65, 16,213.16 and 4,567.69

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Solution

The fourth proportional to 10,807.65, 16,213.16 and 4,567.69 is: 6,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.65 : 16,213.16 = 4,567.69 : x
  2. Step 2: Convert to fraction form
    10,807.65/16,213.16 = 4,567.69/x
  3. Step 3: Cross multiply
    10,807.65x = 16,213.16 × 4,567.69
  4. Step 4: Simplify right side
    10,807.65x = 74,056,584.90
  5. Step 5: Solve for x
    x = 74,056,584.90/10,807.65
  6. Step 6: Final answer
    x = 6,852.24

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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.