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Finding the Fourth Proportional to 10,005.75, 13,808.13 and 5,529.69

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Solution

The fourth proportional to 10,005.75, 13,808.13 and 5,529.69 is: 7,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.75 : 13,808.13 = 5,529.69 : x
  2. Step 2: Convert to fraction form
    10,005.75/13,808.13 = 5,529.69/x
  3. Step 3: Cross multiply
    10,005.75x = 13,808.13 × 5,529.69
  4. Step 4: Simplify right side
    10,005.75x = 76,354,678.38
  5. Step 5: Solve for x
    x = 76,354,678.38/10,005.75
  6. Step 6: Final answer
    x = 7,631.08

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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.