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Finding the Fourth Proportional to 7,530.40, 11,295.60 and 5,586.40

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Solution

The fourth proportional to 7,530.40, 11,295.60 and 5,586.40 is: 8,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.40 : 11,295.60 = 5,586.40 : x
  2. Step 2: Convert to fraction form
    7,530.40/11,295.60 = 5,586.40/x
  3. Step 3: Cross multiply
    7,530.40x = 11,295.60 × 5,586.40
  4. Step 4: Simplify right side
    7,530.40x = 63,101,739.84
  5. Step 5: Solve for x
    x = 63,101,739.84/7,530.40
  6. Step 6: Final answer
    x = 8,379.60

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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.