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Finding the Fourth Proportional to 10,568.70, 14,584.74 and 5,852.96

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Solution

The fourth proportional to 10,568.70, 14,584.74 and 5,852.96 is: 8,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.70 : 14,584.74 = 5,852.96 : x
  2. Step 2: Convert to fraction form
    10,568.70/14,584.74 = 5,852.96/x
  3. Step 3: Cross multiply
    10,568.70x = 14,584.74 × 5,852.96
  4. Step 4: Simplify right side
    10,568.70x = 85,363,899.83
  5. Step 5: Solve for x
    x = 85,363,899.83/10,568.70
  6. Step 6: Final answer
    x = 8,077.05

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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.