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Finding the Fourth Proportional to 10,847.82, 14,965.00 and 7,495.34

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Solution

The fourth proportional to 10,847.82, 14,965.00 and 7,495.34 is: 10,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.82 : 14,965.00 = 7,495.34 : x
  2. Step 2: Convert to fraction form
    10,847.82/14,965.00 = 7,495.34/x
  3. Step 3: Cross multiply
    10,847.82x = 14,965.00 × 7,495.34
  4. Step 4: Simplify right side
    10,847.82x = 112,167,711.70
  5. Step 5: Solve for x
    x = 112,167,711.70/10,847.82
  6. Step 6: Final answer
    x = 10,340.11

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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.