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Finding the Fourth Proportional to 11,065.08, 15,265.24 and 7,709.84

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Solution

The fourth proportional to 11,065.08, 15,265.24 and 7,709.84 is: 10,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.08 : 15,265.24 = 7,709.84 : x
  2. Step 2: Convert to fraction form
    11,065.08/15,265.24 = 7,709.84/x
  3. Step 3: Cross multiply
    11,065.08x = 15,265.24 × 7,709.84
  4. Step 4: Simplify right side
    11,065.08x = 117,692,557.96
  5. Step 5: Solve for x
    x = 117,692,557.96/11,065.08
  6. Step 6: Final answer
    x = 10,636.39

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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.