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Finding the Fourth Proportional to 10,430.25, 14,394.95 and 5,954.64

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Solution

The fourth proportional to 10,430.25, 14,394.95 and 5,954.64 is: 8,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.25 : 14,394.95 = 5,954.64 : x
  2. Step 2: Convert to fraction form
    10,430.25/14,394.95 = 5,954.64/x
  3. Step 3: Cross multiply
    10,430.25x = 14,394.95 × 5,954.64
  4. Step 4: Simplify right side
    10,430.25x = 85,716,745.07
  5. Step 5: Solve for x
    x = 85,716,745.07/10,430.25
  6. Step 6: Final answer
    x = 8,218.09

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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.