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Finding the Fourth Proportional to 11,527.32, 15,907.32 and 6,811.50

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Solution

The fourth proportional to 11,527.32, 15,907.32 and 6,811.50 is: 9,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.32 : 15,907.32 = 6,811.50 : x
  2. Step 2: Convert to fraction form
    11,527.32/15,907.32 = 6,811.50/x
  3. Step 3: Cross multiply
    11,527.32x = 15,907.32 × 6,811.50
  4. Step 4: Simplify right side
    11,527.32x = 108,352,710.18
  5. Step 5: Solve for x
    x = 108,352,710.18/11,527.32
  6. Step 6: Final answer
    x = 9,399.64

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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.