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Finding the Fourth Proportional to 11,407.82, 15,740.87 and 6,371.85

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Solution

The fourth proportional to 11,407.82, 15,740.87 and 6,371.85 is: 8,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.82 : 15,740.87 = 6,371.85 : x
  2. Step 2: Convert to fraction form
    11,407.82/15,740.87 = 6,371.85/x
  3. Step 3: Cross multiply
    11,407.82x = 15,740.87 × 6,371.85
  4. Step 4: Simplify right side
    11,407.82x = 100,298,430.65
  5. Step 5: Solve for x
    x = 100,298,430.65/11,407.82
  6. Step 6: Final answer
    x = 8,792.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.