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Finding the Fourth Proportional to 8,666.10, 12,999.06 and 2,742.93

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Solution

The fourth proportional to 8,666.10, 12,999.06 and 2,742.93 is: 4,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.10 : 12,999.06 = 2,742.93 : x
  2. Step 2: Convert to fraction form
    8,666.10/12,999.06 = 2,742.93/x
  3. Step 3: Cross multiply
    8,666.10x = 12,999.06 × 2,742.93
  4. Step 4: Simplify right side
    8,666.10x = 35,655,511.65
  5. Step 5: Solve for x
    x = 35,655,511.65/8,666.10
  6. Step 6: Final answer
    x = 4,114.37

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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.