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Finding the Fourth Proportional to 10,497.11, 14,484.15 and 8,504.24

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Solution

The fourth proportional to 10,497.11, 14,484.15 and 8,504.24 is: 11,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.11 : 14,484.15 = 8,504.24 : x
  2. Step 2: Convert to fraction form
    10,497.11/14,484.15 = 8,504.24/x
  3. Step 3: Cross multiply
    10,497.11x = 14,484.15 × 8,504.24
  4. Step 4: Simplify right side
    10,497.11x = 123,176,615.38
  5. Step 5: Solve for x
    x = 123,176,615.38/10,497.11
  6. Step 6: Final answer
    x = 11,734.34

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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.