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Finding the Fourth Proportional to 10,587.70, 14,611.92 and 5,873.50

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Solution

The fourth proportional to 10,587.70, 14,611.92 and 5,873.50 is: 8,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.70 : 14,611.92 = 5,873.50 : x
  2. Step 2: Convert to fraction form
    10,587.70/14,611.92 = 5,873.50/x
  3. Step 3: Cross multiply
    10,587.70x = 14,611.92 × 5,873.50
  4. Step 4: Simplify right side
    10,587.70x = 85,823,112.12
  5. Step 5: Solve for x
    x = 85,823,112.12/10,587.70
  6. Step 6: Final answer
    x = 8,105.93

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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.