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Finding the Fourth Proportional to 10,655.39, 14,703.90 and 5,938.76

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Solution

The fourth proportional to 10,655.39, 14,703.90 and 5,938.76 is: 8,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.39 : 14,703.90 = 5,938.76 : x
  2. Step 2: Convert to fraction form
    10,655.39/14,703.90 = 5,938.76/x
  3. Step 3: Cross multiply
    10,655.39x = 14,703.90 × 5,938.76
  4. Step 4: Simplify right side
    10,655.39x = 87,322,933.16
  5. Step 5: Solve for x
    x = 87,322,933.16/10,655.39
  6. Step 6: Final answer
    x = 8,195.19

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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.