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Finding the Fourth Proportional to 11,815.59, 17,712.50 and 4,018.98

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Solution

The fourth proportional to 11,815.59, 17,712.50 and 4,018.98 is: 6,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.59 : 17,712.50 = 4,018.98 : x
  2. Step 2: Convert to fraction form
    11,815.59/17,712.50 = 4,018.98/x
  3. Step 3: Cross multiply
    11,815.59x = 17,712.50 × 4,018.98
  4. Step 4: Simplify right side
    11,815.59x = 71,186,163.16
  5. Step 5: Solve for x
    x = 71,186,163.16/11,815.59
  6. Step 6: Final answer
    x = 6,024.77

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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.