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Finding the Fourth Proportional to 10,283.84, 14,191.44 and 6,092

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Solution

The fourth proportional to 10,283.84, 14,191.44 and 6,092 is: 8,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.84 : 14,191.44 = 6,092 : x
  2. Step 2: Convert to fraction form
    10,283.84/14,191.44 = 6,092/x
  3. Step 3: Cross multiply
    10,283.84x = 14,191.44 × 6,092
  4. Step 4: Simplify right side
    10,283.84x = 86,454,252.48
  5. Step 5: Solve for x
    x = 86,454,252.48/10,283.84
  6. Step 6: Final answer
    x = 8,406.81

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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.