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Finding the Fourth Proportional to 10,568.90, 14,586.63 and 6,091.77

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Solution

The fourth proportional to 10,568.90, 14,586.63 and 6,091.77 is: 8,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.90 : 14,586.63 = 6,091.77 : x
  2. Step 2: Convert to fraction form
    10,568.90/14,586.63 = 6,091.77/x
  3. Step 3: Cross multiply
    10,568.90x = 14,586.63 × 6,091.77
  4. Step 4: Simplify right side
    10,568.90x = 88,858,461.16
  5. Step 5: Solve for x
    x = 88,858,461.16/10,568.90
  6. Step 6: Final answer
    x = 8,407.54

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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.