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Finding the Fourth Proportional to 11,688.66, 17,519.12 and 6,748.08

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Solution

The fourth proportional to 11,688.66, 17,519.12 and 6,748.08 is: 10,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.66 : 17,519.12 = 6,748.08 : x
  2. Step 2: Convert to fraction form
    11,688.66/17,519.12 = 6,748.08/x
  3. Step 3: Cross multiply
    11,688.66x = 17,519.12 × 6,748.08
  4. Step 4: Simplify right side
    11,688.66x = 118,220,423.29
  5. Step 5: Solve for x
    x = 118,220,423.29/11,688.66
  6. Step 6: Final answer
    x = 10,114.11

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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.