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Finding the Fourth Proportional to 10,283.78, 15,381.07 and 6,056.96

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Solution

The fourth proportional to 10,283.78, 15,381.07 and 6,056.96 is: 9,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.78 : 15,381.07 = 6,056.96 : x
  2. Step 2: Convert to fraction form
    10,283.78/15,381.07 = 6,056.96/x
  3. Step 3: Cross multiply
    10,283.78x = 15,381.07 × 6,056.96
  4. Step 4: Simplify right side
    10,283.78x = 93,162,525.75
  5. Step 5: Solve for x
    x = 93,162,525.75/10,283.78
  6. Step 6: Final answer
    x = 9,059.17

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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.