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Finding the Fourth Proportional to 10,655.32, 14,705.04 and 5,939.74

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Solution

The fourth proportional to 10,655.32, 14,705.04 and 5,939.74 is: 8,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.32 : 14,705.04 = 5,939.74 : x
  2. Step 2: Convert to fraction form
    10,655.32/14,705.04 = 5,939.74/x
  3. Step 3: Cross multiply
    10,655.32x = 14,705.04 × 5,939.74
  4. Step 4: Simplify right side
    10,655.32x = 87,344,114.29
  5. Step 5: Solve for x
    x = 87,344,114.29/10,655.32
  6. Step 6: Final answer
    x = 8,197.23

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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.