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Finding the Fourth Proportional to 11,562.50, 17,345.08 and 4,063.76

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Solution

The fourth proportional to 11,562.50, 17,345.08 and 4,063.76 is: 6,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.50 : 17,345.08 = 4,063.76 : x
  2. Step 2: Convert to fraction form
    11,562.50/17,345.08 = 4,063.76/x
  3. Step 3: Cross multiply
    11,562.50x = 17,345.08 × 4,063.76
  4. Step 4: Simplify right side
    11,562.50x = 70,486,242.30
  5. Step 5: Solve for x
    x = 70,486,242.30/11,562.50
  6. Step 6: Final answer
    x = 6,096.11

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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.