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Finding the Fourth Proportional to 10,564.92, 14,580.08 and 5,849.21

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Solution

The fourth proportional to 10,564.92, 14,580.08 and 5,849.21 is: 8,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.92 : 14,580.08 = 5,849.21 : x
  2. Step 2: Convert to fraction form
    10,564.92/14,580.08 = 5,849.21/x
  3. Step 3: Cross multiply
    10,564.92x = 14,580.08 × 5,849.21
  4. Step 4: Simplify right side
    10,564.92x = 85,281,847.59
  5. Step 5: Solve for x
    x = 85,281,847.59/10,564.92
  6. Step 6: Final answer
    x = 8,072.17

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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.