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Finding the Fourth Proportional to 10,292.94, 14,212.26 and 7,899.12

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Solution

The fourth proportional to 10,292.94, 14,212.26 and 7,899.12 is: 10,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.94 : 14,212.26 = 7,899.12 : x
  2. Step 2: Convert to fraction form
    10,292.94/14,212.26 = 7,899.12/x
  3. Step 3: Cross multiply
    10,292.94x = 14,212.26 × 7,899.12
  4. Step 4: Simplify right side
    10,292.94x = 112,264,347.21
  5. Step 5: Solve for x
    x = 112,264,347.21/10,292.94
  6. Step 6: Final answer
    x = 10,906.93

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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.