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Finding the Fourth Proportional to 10,878.48, 16,309.14 and 4,639.50

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Solution

The fourth proportional to 10,878.48, 16,309.14 and 4,639.50 is: 6,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.48 : 16,309.14 = 4,639.50 : x
  2. Step 2: Convert to fraction form
    10,878.48/16,309.14 = 4,639.50/x
  3. Step 3: Cross multiply
    10,878.48x = 16,309.14 × 4,639.50
  4. Step 4: Simplify right side
    10,878.48x = 75,666,255.03
  5. Step 5: Solve for x
    x = 75,666,255.03/10,878.48
  6. Step 6: Final answer
    x = 6,955.59

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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.