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Finding the Fourth Proportional to 11,527.12, 15,907.08 and 8,396.56

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Solution

The fourth proportional to 11,527.12, 15,907.08 and 8,396.56 is: 11,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.12 : 15,907.08 = 8,396.56 : x
  2. Step 2: Convert to fraction form
    11,527.12/15,907.08 = 8,396.56/x
  3. Step 3: Cross multiply
    11,527.12x = 15,907.08 × 8,396.56
  4. Step 4: Simplify right side
    11,527.12x = 133,564,751.64
  5. Step 5: Solve for x
    x = 133,564,751.64/11,527.12
  6. Step 6: Final answer
    x = 11,587.00

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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.