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Finding the Fourth Proportional to 10,684.98, 16,011.88 and 7,563.29

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Solution

The fourth proportional to 10,684.98, 16,011.88 and 7,563.29 is: 11,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.98 : 16,011.88 = 7,563.29 : x
  2. Step 2: Convert to fraction form
    10,684.98/16,011.88 = 7,563.29/x
  3. Step 3: Cross multiply
    10,684.98x = 16,011.88 × 7,563.29
  4. Step 4: Simplify right side
    10,684.98x = 121,102,482.98
  5. Step 5: Solve for x
    x = 121,102,482.98/10,684.98
  6. Step 6: Final answer
    x = 11,333.90

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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.