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Finding the Fourth Proportional to 10,792.94, 14,896.35 and 6,077.23

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Solution

The fourth proportional to 10,792.94, 14,896.35 and 6,077.23 is: 8,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.94 : 14,896.35 = 6,077.23 : x
  2. Step 2: Convert to fraction form
    10,792.94/14,896.35 = 6,077.23/x
  3. Step 3: Cross multiply
    10,792.94x = 14,896.35 × 6,077.23
  4. Step 4: Simplify right side
    10,792.94x = 90,528,507.87
  5. Step 5: Solve for x
    x = 90,528,507.87/10,792.94
  6. Step 6: Final answer
    x = 8,387.76

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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.