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Finding the Fourth Proportional to 8,047.65, 12,046.04 and 7,201.32

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Solution

The fourth proportional to 8,047.65, 12,046.04 and 7,201.32 is: 10,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.65 : 12,046.04 = 7,201.32 : x
  2. Step 2: Convert to fraction form
    8,047.65/12,046.04 = 7,201.32/x
  3. Step 3: Cross multiply
    8,047.65x = 12,046.04 × 7,201.32
  4. Step 4: Simplify right side
    8,047.65x = 86,747,388.77
  5. Step 5: Solve for x
    x = 86,747,388.77/8,047.65
  6. Step 6: Final answer
    x = 10,779.22

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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.