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Finding the Fourth Proportional to 10,512.11, 14,507.73 and 7,854.90

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Solution

The fourth proportional to 10,512.11, 14,507.73 and 7,854.90 is: 10,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.11 : 14,507.73 = 7,854.90 : x
  2. Step 2: Convert to fraction form
    10,512.11/14,507.73 = 7,854.90/x
  3. Step 3: Cross multiply
    10,512.11x = 14,507.73 × 7,854.90
  4. Step 4: Simplify right side
    10,512.11x = 113,956,768.38
  5. Step 5: Solve for x
    x = 113,956,768.38/10,512.11
  6. Step 6: Final answer
    x = 10,840.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.