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Finding the Fourth Proportional to 10,500.24, 14,476.88 and 8,604.84

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Solution

The fourth proportional to 10,500.24, 14,476.88 and 8,604.84 is: 11,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.24 : 14,476.88 = 8,604.84 : x
  2. Step 2: Convert to fraction form
    10,500.24/14,476.88 = 8,604.84/x
  3. Step 3: Cross multiply
    10,500.24x = 14,476.88 × 8,604.84
  4. Step 4: Simplify right side
    10,500.24x = 124,571,236.10
  5. Step 5: Solve for x
    x = 124,571,236.10/10,500.24
  6. Step 6: Final answer
    x = 11,863.66

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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.