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Finding the Fourth Proportional to 7,527.68, 11,288.80 and 2,595.84

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Solution

The fourth proportional to 7,527.68, 11,288.80 and 2,595.84 is: 3,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.68 : 11,288.80 = 2,595.84 : x
  2. Step 2: Convert to fraction form
    7,527.68/11,288.80 = 2,595.84/x
  3. Step 3: Cross multiply
    7,527.68x = 11,288.80 × 2,595.84
  4. Step 4: Simplify right side
    7,527.68x = 29,303,918.59
  5. Step 5: Solve for x
    x = 29,303,918.59/7,527.68
  6. Step 6: Final answer
    x = 3,892.82

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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.