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Finding the Fourth Proportional to 10,507.11, 14,520.72 and 8,615.76

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Solution

The fourth proportional to 10,507.11, 14,520.72 and 8,615.76 is: 11,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.11 : 14,520.72 = 8,615.76 : x
  2. Step 2: Convert to fraction form
    10,507.11/14,520.72 = 8,615.76/x
  3. Step 3: Cross multiply
    10,507.11x = 14,520.72 × 8,615.76
  4. Step 4: Simplify right side
    10,507.11x = 125,107,038.55
  5. Step 5: Solve for x
    x = 125,107,038.55/10,507.11
  6. Step 6: Final answer
    x = 11,906.89

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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.