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Finding the Fourth Proportional to 10,588.57, 14,602.07 and 6,338.96

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Solution

The fourth proportional to 10,588.57, 14,602.07 and 6,338.96 is: 8,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.57 : 14,602.07 = 6,338.96 : x
  2. Step 2: Convert to fraction form
    10,588.57/14,602.07 = 6,338.96/x
  3. Step 3: Cross multiply
    10,588.57x = 14,602.07 × 6,338.96
  4. Step 4: Simplify right side
    10,588.57x = 92,561,935.24
  5. Step 5: Solve for x
    x = 92,561,935.24/10,588.57
  6. Step 6: Final answer
    x = 8,741.68

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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.