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Finding the Fourth Proportional to 10,359.80, 15,539.70 and 5,430.95

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Solution

The fourth proportional to 10,359.80, 15,539.70 and 5,430.95 is: 8,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.80 : 15,539.70 = 5,430.95 : x
  2. Step 2: Convert to fraction form
    10,359.80/15,539.70 = 5,430.95/x
  3. Step 3: Cross multiply
    10,359.80x = 15,539.70 × 5,430.95
  4. Step 4: Simplify right side
    10,359.80x = 84,395,333.72
  5. Step 5: Solve for x
    x = 84,395,333.72/10,359.80
  6. Step 6: Final answer
    x = 8,146.43

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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.