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Finding the Fourth Proportional to 11,700.40, 17,539.80 and 4,300.78

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Solution

The fourth proportional to 11,700.40, 17,539.80 and 4,300.78 is: 6,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.40 : 17,539.80 = 4,300.78 : x
  2. Step 2: Convert to fraction form
    11,700.40/17,539.80 = 4,300.78/x
  3. Step 3: Cross multiply
    11,700.40x = 17,539.80 × 4,300.78
  4. Step 4: Simplify right side
    11,700.40x = 75,434,821.04
  5. Step 5: Solve for x
    x = 75,434,821.04/11,700.40
  6. Step 6: Final answer
    x = 6,447.20

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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.