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Finding the Fourth Proportional to 10,585.95, 14,609.48 and 5,871.75

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Solution

The fourth proportional to 10,585.95, 14,609.48 and 5,871.75 is: 8,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.95 : 14,609.48 = 5,871.75 : x
  2. Step 2: Convert to fraction form
    10,585.95/14,609.48 = 5,871.75/x
  3. Step 3: Cross multiply
    10,585.95x = 14,609.48 × 5,871.75
  4. Step 4: Simplify right side
    10,585.95x = 85,783,184.83
  5. Step 5: Solve for x
    x = 85,783,184.83/10,585.95
  6. Step 6: Final answer
    x = 8,103.49

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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.