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Finding the Fourth Proportional to 11,306.08, 16,955.66 and 7,818.50

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Solution

The fourth proportional to 11,306.08, 16,955.66 and 7,818.50 is: 11,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.08 : 16,955.66 = 7,818.50 : x
  2. Step 2: Convert to fraction form
    11,306.08/16,955.66 = 7,818.50/x
  3. Step 3: Cross multiply
    11,306.08x = 16,955.66 × 7,818.50
  4. Step 4: Simplify right side
    11,306.08x = 132,567,827.71
  5. Step 5: Solve for x
    x = 132,567,827.71/11,306.08
  6. Step 6: Final answer
    x = 11,725.36

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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.