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Finding the Fourth Proportional to 11,461.17, 17,188.98 and 8,377.50

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Solution

The fourth proportional to 11,461.17, 17,188.98 and 8,377.50 is: 12,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.17 : 17,188.98 = 8,377.50 : x
  2. Step 2: Convert to fraction form
    11,461.17/17,188.98 = 8,377.50/x
  3. Step 3: Cross multiply
    11,461.17x = 17,188.98 × 8,377.50
  4. Step 4: Simplify right side
    11,461.17x = 144,000,679.95
  5. Step 5: Solve for x
    x = 144,000,679.95/11,461.17
  6. Step 6: Final answer
    x = 12,564.22

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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.