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Finding the Fourth Proportional to 10,564.90, 14,580.02 and 5,849.18

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Solution

The fourth proportional to 10,564.90, 14,580.02 and 5,849.18 is: 8,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.90 : 14,580.02 = 5,849.18 : x
  2. Step 2: Convert to fraction form
    10,564.90/14,580.02 = 5,849.18/x
  3. Step 3: Cross multiply
    10,564.90x = 14,580.02 × 5,849.18
  4. Step 4: Simplify right side
    10,564.90x = 85,281,161.38
  5. Step 5: Solve for x
    x = 85,281,161.38/10,564.90
  6. Step 6: Final answer
    x = 8,072.12

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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.