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Finding the Fourth Proportional to 7,350.40, 11,009.40 and 7,188.40

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Solution

The fourth proportional to 7,350.40, 11,009.40 and 7,188.40 is: 10,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.40 : 11,009.40 = 7,188.40 : x
  2. Step 2: Convert to fraction form
    7,350.40/11,009.40 = 7,188.40/x
  3. Step 3: Cross multiply
    7,350.40x = 11,009.40 × 7,188.40
  4. Step 4: Simplify right side
    7,350.40x = 79,139,970.96
  5. Step 5: Solve for x
    x = 79,139,970.96/7,350.40
  6. Step 6: Final answer
    x = 10,766.76

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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.