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Finding the Fourth Proportional to 7,335.60, 10,979.10 and 6,460.80

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Solution

The fourth proportional to 7,335.60, 10,979.10 and 6,460.80 is: 9,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.60 : 10,979.10 = 6,460.80 : x
  2. Step 2: Convert to fraction form
    7,335.60/10,979.10 = 6,460.80/x
  3. Step 3: Cross multiply
    7,335.60x = 10,979.10 × 6,460.80
  4. Step 4: Simplify right side
    7,335.60x = 70,933,769.28
  5. Step 5: Solve for x
    x = 70,933,769.28/7,335.60
  6. Step 6: Final answer
    x = 9,669.80

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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.