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Finding the Fourth Proportional to 11,527.60, 15,907.44 and 6,812.32

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Solution

The fourth proportional to 11,527.60, 15,907.44 and 6,812.32 is: 9,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.60 : 15,907.44 = 6,812.32 : x
  2. Step 2: Convert to fraction form
    11,527.60/15,907.44 = 6,812.32/x
  3. Step 3: Cross multiply
    11,527.60x = 15,907.44 × 6,812.32
  4. Step 4: Simplify right side
    11,527.60x = 108,366,571.66
  5. Step 5: Solve for x
    x = 108,366,571.66/11,527.60
  6. Step 6: Final answer
    x = 9,400.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.