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Finding the Fourth Proportional to 10,547.96, 14,556.38 and 6,072.57

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Solution

The fourth proportional to 10,547.96, 14,556.38 and 6,072.57 is: 8,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.96 : 14,556.38 = 6,072.57 : x
  2. Step 2: Convert to fraction form
    10,547.96/14,556.38 = 6,072.57/x
  3. Step 3: Cross multiply
    10,547.96x = 14,556.38 × 6,072.57
  4. Step 4: Simplify right side
    10,547.96x = 88,394,606.13
  5. Step 5: Solve for x
    x = 88,394,606.13/10,547.96
  6. Step 6: Final answer
    x = 8,380.26

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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.