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Finding the Fourth Proportional to 10,759.40, 16,139.10 and 6,852.20

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Solution

The fourth proportional to 10,759.40, 16,139.10 and 6,852.20 is: 10,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.40 : 16,139.10 = 6,852.20 : x
  2. Step 2: Convert to fraction form
    10,759.40/16,139.10 = 6,852.20/x
  3. Step 3: Cross multiply
    10,759.40x = 16,139.10 × 6,852.20
  4. Step 4: Simplify right side
    10,759.40x = 110,588,341.02
  5. Step 5: Solve for x
    x = 110,588,341.02/10,759.40
  6. Step 6: Final answer
    x = 10,278.30

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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.