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Finding the Fourth Proportional to 10,588.65, 14,611.54 and 5,807.82

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Solution

The fourth proportional to 10,588.65, 14,611.54 and 5,807.82 is: 8,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.65 : 14,611.54 = 5,807.82 : x
  2. Step 2: Convert to fraction form
    10,588.65/14,611.54 = 5,807.82/x
  3. Step 3: Cross multiply
    10,588.65x = 14,611.54 × 5,807.82
  4. Step 4: Simplify right side
    10,588.65x = 84,861,194.24
  5. Step 5: Solve for x
    x = 84,861,194.24/10,588.65
  6. Step 6: Final answer
    x = 8,014.35

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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.