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Finding the Fourth Proportional to 6,853.40, 10,280.10 and 6,140.60

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Solution

The fourth proportional to 6,853.40, 10,280.10 and 6,140.60 is: 9,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.40 : 10,280.10 = 6,140.60 : x
  2. Step 2: Convert to fraction form
    6,853.40/10,280.10 = 6,140.60/x
  3. Step 3: Cross multiply
    6,853.40x = 10,280.10 × 6,140.60
  4. Step 4: Simplify right side
    6,853.40x = 63,125,982.06
  5. Step 5: Solve for x
    x = 63,125,982.06/6,853.40
  6. Step 6: Final answer
    x = 9,210.90

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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.