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Finding the Fourth Proportional to 11,527.97, 15,908.40 and 6,492.17

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Solution

The fourth proportional to 11,527.97, 15,908.40 and 6,492.17 is: 8,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.97 : 15,908.40 = 6,492.17 : x
  2. Step 2: Convert to fraction form
    11,527.97/15,908.40 = 6,492.17/x
  3. Step 3: Cross multiply
    11,527.97x = 15,908.40 × 6,492.17
  4. Step 4: Simplify right side
    11,527.97x = 103,280,077.00
  5. Step 5: Solve for x
    x = 103,280,077.00/11,527.97
  6. Step 6: Final answer
    x = 8,959.09

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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.