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Finding the Fourth Proportional to 10,850.45, 14,973.93 and 6,134.63

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Solution

The fourth proportional to 10,850.45, 14,973.93 and 6,134.63 is: 8,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.45 : 14,973.93 = 6,134.63 : x
  2. Step 2: Convert to fraction form
    10,850.45/14,973.93 = 6,134.63/x
  3. Step 3: Cross multiply
    10,850.45x = 14,973.93 × 6,134.63
  4. Step 4: Simplify right side
    10,850.45x = 91,859,445.33
  5. Step 5: Solve for x
    x = 91,859,445.33/10,850.45
  6. Step 6: Final answer
    x = 8,465.96

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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.