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Finding the Fourth Proportional to 10,312.90, 14,231.22 and 5,836.84

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Solution

The fourth proportional to 10,312.90, 14,231.22 and 5,836.84 is: 8,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.90 : 14,231.22 = 5,836.84 : x
  2. Step 2: Convert to fraction form
    10,312.90/14,231.22 = 5,836.84/x
  3. Step 3: Cross multiply
    10,312.90x = 14,231.22 × 5,836.84
  4. Step 4: Simplify right side
    10,312.90x = 83,065,354.14
  5. Step 5: Solve for x
    x = 83,065,354.14/10,312.90
  6. Step 6: Final answer
    x = 8,054.51

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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.