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Finding the Fourth Proportional to 11,527.53, 15,908.84 and 6,492.30

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Solution

The fourth proportional to 11,527.53, 15,908.84 and 6,492.30 is: 8,959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.53 : 15,908.84 = 6,492.30 : x
  2. Step 2: Convert to fraction form
    11,527.53/15,908.84 = 6,492.30/x
  3. Step 3: Cross multiply
    11,527.53x = 15,908.84 × 6,492.30
  4. Step 4: Simplify right side
    11,527.53x = 103,284,961.93
  5. Step 5: Solve for x
    x = 103,284,961.93/11,527.53
  6. Step 6: Final answer
    x = 8,959.85

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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.