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Finding the Fourth Proportional to 10,547.71, 14,556.38 and 6,072.11

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Solution

The fourth proportional to 10,547.71, 14,556.38 and 6,072.11 is: 8,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.71 : 14,556.38 = 6,072.11 : x
  2. Step 2: Convert to fraction form
    10,547.71/14,556.38 = 6,072.11/x
  3. Step 3: Cross multiply
    10,547.71x = 14,556.38 × 6,072.11
  4. Step 4: Simplify right side
    10,547.71x = 88,387,882.96
  5. Step 5: Solve for x
    x = 88,387,882.96/10,547.71
  6. Step 6: Final answer
    x = 8,379.82

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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.