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Finding the Fourth Proportional to 11,527.11, 15,908.93 and 6,492.31

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Solution

The fourth proportional to 11,527.11, 15,908.93 and 6,492.31 is: 8,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.11 : 15,908.93 = 6,492.31 : x
  2. Step 2: Convert to fraction form
    11,527.11/15,908.93 = 6,492.31/x
  3. Step 3: Cross multiply
    11,527.11x = 15,908.93 × 6,492.31
  4. Step 4: Simplify right side
    11,527.11x = 103,285,705.33
  5. Step 5: Solve for x
    x = 103,285,705.33/11,527.11
  6. Step 6: Final answer
    x = 8,960.24

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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.