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Finding the Fourth Proportional to 10,340.20, 14,281.50 and 6,819.40

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Solution

The fourth proportional to 10,340.20, 14,281.50 and 6,819.40 is: 9,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.20 : 14,281.50 = 6,819.40 : x
  2. Step 2: Convert to fraction form
    10,340.20/14,281.50 = 6,819.40/x
  3. Step 3: Cross multiply
    10,340.20x = 14,281.50 × 6,819.40
  4. Step 4: Simplify right side
    10,340.20x = 97,391,261.10
  5. Step 5: Solve for x
    x = 97,391,261.10/10,340.20
  6. Step 6: Final answer
    x = 9,418.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.