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Finding the Fourth Proportional to 10,588.30, 14,611.75 and 5,808.14

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Solution

The fourth proportional to 10,588.30, 14,611.75 and 5,808.14 is: 8,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.30 : 14,611.75 = 5,808.14 : x
  2. Step 2: Convert to fraction form
    10,588.30/14,611.75 = 5,808.14/x
  3. Step 3: Cross multiply
    10,588.30x = 14,611.75 × 5,808.14
  4. Step 4: Simplify right side
    10,588.30x = 84,867,089.65
  5. Step 5: Solve for x
    x = 84,867,089.65/10,588.30
  6. Step 6: Final answer
    x = 8,015.18

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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.