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Finding the Fourth Proportional to 8,283.72, 11,432.73 and 5,140.92

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Solution

The fourth proportional to 8,283.72, 11,432.73 and 5,140.92 is: 7,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.72 : 11,432.73 = 5,140.92 : x
  2. Step 2: Convert to fraction form
    8,283.72/11,432.73 = 5,140.92/x
  3. Step 3: Cross multiply
    8,283.72x = 11,432.73 × 5,140.92
  4. Step 4: Simplify right side
    8,283.72x = 58,774,750.31
  5. Step 5: Solve for x
    x = 58,774,750.31/8,283.72
  6. Step 6: Final answer
    x = 7,095.21

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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.