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Finding the Fourth Proportional to 10,730.40, 16,100.16 and 6,842.40

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Solution

The fourth proportional to 10,730.40, 16,100.16 and 6,842.40 is: 10,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.40 : 16,100.16 = 6,842.40 : x
  2. Step 2: Convert to fraction form
    10,730.40/16,100.16 = 6,842.40/x
  3. Step 3: Cross multiply
    10,730.40x = 16,100.16 × 6,842.40
  4. Step 4: Simplify right side
    10,730.40x = 110,163,734.78
  5. Step 5: Solve for x
    x = 110,163,734.78/10,730.40
  6. Step 6: Final answer
    x = 10,266.51

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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.