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Finding the Fourth Proportional to 10,588.37, 14,608.08 and 6,339.56

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Solution

The fourth proportional to 10,588.37, 14,608.08 and 6,339.56 is: 8,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.37 : 14,608.08 = 6,339.56 : x
  2. Step 2: Convert to fraction form
    10,588.37/14,608.08 = 6,339.56/x
  3. Step 3: Cross multiply
    10,588.37x = 14,608.08 × 6,339.56
  4. Step 4: Simplify right side
    10,588.37x = 92,608,726.60
  5. Step 5: Solve for x
    x = 92,608,726.60/10,588.37
  6. Step 6: Final answer
    x = 8,746.27

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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.