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Finding the Fourth Proportional to 10,739.80, 16,077.30 and 9,573.40

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Solution

The fourth proportional to 10,739.80, 16,077.30 and 9,573.40 is: 14,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.80 : 16,077.30 = 9,573.40 : x
  2. Step 2: Convert to fraction form
    10,739.80/16,077.30 = 9,573.40/x
  3. Step 3: Cross multiply
    10,739.80x = 16,077.30 × 9,573.40
  4. Step 4: Simplify right side
    10,739.80x = 153,914,423.82
  5. Step 5: Solve for x
    x = 153,914,423.82/10,739.80
  6. Step 6: Final answer
    x = 14,331.22

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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.