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Finding the Fourth Proportional to 11,527.65, 17,289.38 and 4,032.32

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Solution

The fourth proportional to 11,527.65, 17,289.38 and 4,032.32 is: 6,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.65 : 17,289.38 = 4,032.32 : x
  2. Step 2: Convert to fraction form
    11,527.65/17,289.38 = 4,032.32/x
  3. Step 3: Cross multiply
    11,527.65x = 17,289.38 × 4,032.32
  4. Step 4: Simplify right side
    11,527.65x = 69,716,236.40
  5. Step 5: Solve for x
    x = 69,716,236.40/11,527.65
  6. Step 6: Final answer
    x = 6,047.74

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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.