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Finding the Fourth Proportional to 10,261.44, 15,379.02 and 5,583.60

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Solution

The fourth proportional to 10,261.44, 15,379.02 and 5,583.60 is: 8,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.44 : 15,379.02 = 5,583.60 : x
  2. Step 2: Convert to fraction form
    10,261.44/15,379.02 = 5,583.60/x
  3. Step 3: Cross multiply
    10,261.44x = 15,379.02 × 5,583.60
  4. Step 4: Simplify right side
    10,261.44x = 85,870,296.07
  5. Step 5: Solve for x
    x = 85,870,296.07/10,261.44
  6. Step 6: Final answer
    x = 8,368.25

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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.