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Finding the Fourth Proportional to 10,298.70, 14,212.11 and 5,823.90

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Solution

The fourth proportional to 10,298.70, 14,212.11 and 5,823.90 is: 8,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.70 : 14,212.11 = 5,823.90 : x
  2. Step 2: Convert to fraction form
    10,298.70/14,212.11 = 5,823.90/x
  3. Step 3: Cross multiply
    10,298.70x = 14,212.11 × 5,823.90
  4. Step 4: Simplify right side
    10,298.70x = 82,769,907.43
  5. Step 5: Solve for x
    x = 82,769,907.43/10,298.70
  6. Step 6: Final answer
    x = 8,036.93

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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.