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Finding the Fourth Proportional to 11,800.30, 17,688.08 and 4,401.78

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Solution

The fourth proportional to 11,800.30, 17,688.08 and 4,401.78 is: 6,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.30 : 17,688.08 = 4,401.78 : x
  2. Step 2: Convert to fraction form
    11,800.30/17,688.08 = 4,401.78/x
  3. Step 3: Cross multiply
    11,800.30x = 17,688.08 × 4,401.78
  4. Step 4: Simplify right side
    11,800.30x = 77,859,036.78
  5. Step 5: Solve for x
    x = 77,859,036.78/11,800.30
  6. Step 6: Final answer
    x = 6,598.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.