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Finding the Fourth Proportional to 11,666.52, 17,497.18 and 3,346.50

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Solution

The fourth proportional to 11,666.52, 17,497.18 and 3,346.50 is: 5,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.52 : 17,497.18 = 3,346.50 : x
  2. Step 2: Convert to fraction form
    11,666.52/17,497.18 = 3,346.50/x
  3. Step 3: Cross multiply
    11,666.52x = 17,497.18 × 3,346.50
  4. Step 4: Simplify right side
    11,666.52x = 58,554,312.87
  5. Step 5: Solve for x
    x = 58,554,312.87/11,666.52
  6. Step 6: Final answer
    x = 5,019.00

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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.