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Finding the Fourth Proportional to 8,270.51, 12,407.13 and 4,110.65

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Solution

The fourth proportional to 8,270.51, 12,407.13 and 4,110.65 is: 6,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.51 : 12,407.13 = 4,110.65 : x
  2. Step 2: Convert to fraction form
    8,270.51/12,407.13 = 4,110.65/x
  3. Step 3: Cross multiply
    8,270.51x = 12,407.13 × 4,110.65
  4. Step 4: Simplify right side
    8,270.51x = 51,001,368.93
  5. Step 5: Solve for x
    x = 51,001,368.93/8,270.51
  6. Step 6: Final answer
    x = 6,166.65

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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.