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Finding the Fourth Proportional to 10,878.21, 15,011.06 and 6,162.39

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Solution

The fourth proportional to 10,878.21, 15,011.06 and 6,162.39 is: 8,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.21 : 15,011.06 = 6,162.39 : x
  2. Step 2: Convert to fraction form
    10,878.21/15,011.06 = 6,162.39/x
  3. Step 3: Cross multiply
    10,878.21x = 15,011.06 × 6,162.39
  4. Step 4: Simplify right side
    10,878.21x = 92,503,975.22
  5. Step 5: Solve for x
    x = 92,503,975.22/10,878.21
  6. Step 6: Final answer
    x = 8,503.60

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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.