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Finding the Fourth Proportional to 10,684.17, 16,029.48 and 7,570.20

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Solution

The fourth proportional to 10,684.17, 16,029.48 and 7,570.20 is: 11,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.17 : 16,029.48 = 7,570.20 : x
  2. Step 2: Convert to fraction form
    10,684.17/16,029.48 = 7,570.20/x
  3. Step 3: Cross multiply
    10,684.17x = 16,029.48 × 7,570.20
  4. Step 4: Simplify right side
    10,684.17x = 121,346,369.50
  5. Step 5: Solve for x
    x = 121,346,369.50/10,684.17
  6. Step 6: Final answer
    x = 11,357.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.