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Finding the Fourth Proportional to 7,260.80, 10,017.60 and 6,454.40

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Solution

The fourth proportional to 7,260.80, 10,017.60 and 6,454.40 is: 8,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.80 : 10,017.60 = 6,454.40 : x
  2. Step 2: Convert to fraction form
    7,260.80/10,017.60 = 6,454.40/x
  3. Step 3: Cross multiply
    7,260.80x = 10,017.60 × 6,454.40
  4. Step 4: Simplify right side
    7,260.80x = 64,657,597.44
  5. Step 5: Solve for x
    x = 64,657,597.44/7,260.80
  6. Step 6: Final answer
    x = 8,905.02

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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.