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Finding the Fourth Proportional to 10,299.90, 14,212.59 and 7,314.66

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Solution

The fourth proportional to 10,299.90, 14,212.59 and 7,314.66 is: 10,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.90 : 14,212.59 = 7,314.66 : x
  2. Step 2: Convert to fraction form
    10,299.90/14,212.59 = 7,314.66/x
  3. Step 3: Cross multiply
    10,299.90x = 14,212.59 × 7,314.66
  4. Step 4: Simplify right side
    10,299.90x = 103,960,263.57
  5. Step 5: Solve for x
    x = 103,960,263.57/10,299.90
  6. Step 6: Final answer
    x = 10,093.33

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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.