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Finding the Fourth Proportional to 7,527.60, 11,269.80 and 4,611.60

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Solution

The fourth proportional to 7,527.60, 11,269.80 and 4,611.60 is: 6,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.60 : 11,269.80 = 4,611.60 : x
  2. Step 2: Convert to fraction form
    7,527.60/11,269.80 = 4,611.60/x
  3. Step 3: Cross multiply
    7,527.60x = 11,269.80 × 4,611.60
  4. Step 4: Simplify right side
    7,527.60x = 51,971,809.68
  5. Step 5: Solve for x
    x = 51,971,809.68/7,527.60
  6. Step 6: Final answer
    x = 6,904.17

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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.