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Finding the Fourth Proportional to 11,515.68, 15,876.78 and 7,535.34

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Solution

The fourth proportional to 11,515.68, 15,876.78 and 7,535.34 is: 10,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.68 : 15,876.78 = 7,535.34 : x
  2. Step 2: Convert to fraction form
    11,515.68/15,876.78 = 7,535.34/x
  3. Step 3: Cross multiply
    11,515.68x = 15,876.78 × 7,535.34
  4. Step 4: Simplify right side
    11,515.68x = 119,636,935.41
  5. Step 5: Solve for x
    x = 119,636,935.41/11,515.68
  6. Step 6: Final answer
    x = 10,389.05

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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.