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Finding the Fourth Proportional to 8,298.69, 11,452.50 and 5,111.34

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Solution

The fourth proportional to 8,298.69, 11,452.50 and 5,111.34 is: 7,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.69 : 11,452.50 = 5,111.34 : x
  2. Step 2: Convert to fraction form
    8,298.69/11,452.50 = 5,111.34/x
  3. Step 3: Cross multiply
    8,298.69x = 11,452.50 × 5,111.34
  4. Step 4: Simplify right side
    8,298.69x = 58,537,621.35
  5. Step 5: Solve for x
    x = 58,537,621.35/8,298.69
  6. Step 6: Final answer
    x = 7,053.84

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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.