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Finding the Fourth Proportional to 11,530.98, 17,303.34 and 5,984.28

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Solution

The fourth proportional to 11,530.98, 17,303.34 and 5,984.28 is: 8,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.98 : 17,303.34 = 5,984.28 : x
  2. Step 2: Convert to fraction form
    11,530.98/17,303.34 = 5,984.28/x
  3. Step 3: Cross multiply
    11,530.98x = 17,303.34 × 5,984.28
  4. Step 4: Simplify right side
    11,530.98x = 103,548,031.50
  5. Step 5: Solve for x
    x = 103,548,031.50/11,530.98
  6. Step 6: Final answer
    x = 8,979.99

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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.