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Finding the Fourth Proportional to 8,272.51, 12,410.13 and 4,112.65

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Solution

The fourth proportional to 8,272.51, 12,410.13 and 4,112.65 is: 6,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.51 : 12,410.13 = 4,112.65 : x
  2. Step 2: Convert to fraction form
    8,272.51/12,410.13 = 4,112.65/x
  3. Step 3: Cross multiply
    8,272.51x = 12,410.13 × 4,112.65
  4. Step 4: Simplify right side
    8,272.51x = 51,038,521.14
  5. Step 5: Solve for x
    x = 51,038,521.14/8,272.51
  6. Step 6: Final answer
    x = 6,169.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.