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Finding the Fourth Proportional to 11,487.68, 15,852.82 and 6,452

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Solution

The fourth proportional to 11,487.68, 15,852.82 and 6,452 is: 8,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.68 : 15,852.82 = 6,452 : x
  2. Step 2: Convert to fraction form
    11,487.68/15,852.82 = 6,452/x
  3. Step 3: Cross multiply
    11,487.68x = 15,852.82 × 6,452
  4. Step 4: Simplify right side
    11,487.68x = 102,282,394.64
  5. Step 5: Solve for x
    x = 102,282,394.64/11,487.68
  6. Step 6: Final answer
    x = 8,903.66

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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.