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Finding the Fourth Proportional to 10,265.64, 14,165.30 and 6,015.73

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Solution

The fourth proportional to 10,265.64, 14,165.30 and 6,015.73 is: 8,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.64 : 14,165.30 = 6,015.73 : x
  2. Step 2: Convert to fraction form
    10,265.64/14,165.30 = 6,015.73/x
  3. Step 3: Cross multiply
    10,265.64x = 14,165.30 × 6,015.73
  4. Step 4: Simplify right side
    10,265.64x = 85,214,538.86
  5. Step 5: Solve for x
    x = 85,214,538.86/10,265.64
  6. Step 6: Final answer
    x = 8,300.95

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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.