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Finding the Fourth Proportional to 10,633.02, 14,674.23 and 6,158.31

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Solution

The fourth proportional to 10,633.02, 14,674.23 and 6,158.31 is: 8,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.02 : 14,674.23 = 6,158.31 : x
  2. Step 2: Convert to fraction form
    10,633.02/14,674.23 = 6,158.31/x
  3. Step 3: Cross multiply
    10,633.02x = 14,674.23 × 6,158.31
  4. Step 4: Simplify right side
    10,633.02x = 90,368,457.35
  5. Step 5: Solve for x
    x = 90,368,457.35/10,633.02
  6. Step 6: Final answer
    x = 8,498.85

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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.