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Finding the Fourth Proportional to 6,807.60, 10,225.80 and 6,562.80

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Solution

The fourth proportional to 6,807.60, 10,225.80 and 6,562.80 is: 9,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.60 : 10,225.80 = 6,562.80 : x
  2. Step 2: Convert to fraction form
    6,807.60/10,225.80 = 6,562.80/x
  3. Step 3: Cross multiply
    6,807.60x = 10,225.80 × 6,562.80
  4. Step 4: Simplify right side
    6,807.60x = 67,109,880.24
  5. Step 5: Solve for x
    x = 67,109,880.24/6,807.60
  6. Step 6: Final answer
    x = 9,858.08

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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.